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Ask QuestionPosted by Sushant Thareja 6 years, 11 months ago
- 1 answers
Posted by Aditya Singh 6 years, 11 months ago
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Posted by Anushka Trivedi 6 years, 11 months ago
- 1 answers
Gaurav Seth 6 years, 11 months ago
Let a be the first term and d be the common difference of the given AP.
Then sn = n/2(2a + (n-1)d).
LHS :
S30 = (30/2)(2a + (30 - 1)d)
= 15(2a + 29d)
= 30a + 435d. ---------------- (1).
RHS:
(S20 - S10) = (20/2)(2a + (20 - 1) * d) - (10/2)(2a + (10 - 1) * d)
= 10(2a + 19d) - 5(2a + 9d)
= 20a + 190d - 10a - 45d
= 10a + 145d
3(S20 - S10) = 3(10a + 145d)
= 30a + 435d ------------- (2)
Therefore From (1) and (2), It is proved that S30 = 3(S20 - S10).
LHS = RHS.
Posted by Ahiranpurwa Bilgram 6 years, 11 months ago
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Posted by Sushant Thareja 6 years, 11 months ago
- 1 answers
Gaurav Seth 6 years, 11 months ago
The sum of 5th and 9th term is 30.
⇒ a + 4d + a + 8d = 30
⇒ 2a + 12d = 30 ..................(1)
And,
Its 25th term is 3 times its 8th term.
⇒ a + 24d = 3(a + 7d)
⇒ a + 24d = 3a + 21d
⇒ a + 24d - 3a - 21d = 0
⇒ - 2a + 3d = 0 ...................(2)
Adding equation (1) and (2).
⇒ 2a +12d = 30
- 2a + 3d = 0
________________
15d = 30
________________
⇒ 15d = 30
⇒ d = 30/15
⇒ d = 2
So, common difference, 'd' is 2.
Putting the value of d = 2 in the equation (1).
2a + 12d = 30
⇒ 2a + (12*2) = 30
⇒ 2a = 24 = 30
⇒ 2a = 30 - 24
⇒ 2a = 6
⇒ a = 6/2
⇒ a = 3
So, the first term of the required AP is 3
So, the required AP is 3, 5, 7, 9, 11, 13, 15, 19,.............
Posted by Preeti Roy 6 years, 11 months ago
- 1 answers
Pa Gi 6 years, 11 months ago
Posted by Siddhant Nawale 6 years, 11 months ago
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Posted by ????? ❤️ 6 years, 11 months ago
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Posted by Krishna Pawar 6 years, 11 months ago
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????? ❤️ 6 years, 11 months ago
Posted by Krishna Pawar 6 years, 11 months ago
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Praveen Basera 6 years, 11 months ago
Posted by Hap Py 6 years, 11 months ago
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Posted by J Akhil Lkrishna 6 years, 11 months ago
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Muhammed Imam Sha Noushad 6 years, 11 months ago
S Sihag Ji 6 years, 11 months ago
Posted by Mayank Jain 6 years, 11 months ago
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Kuldeep Agrahari 6 years, 11 months ago
Posted by Jitender Singh 6 years, 11 months ago
- 3 answers
Posted by Ujjwal Thakur 6 years, 11 months ago
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Posted by Hemanth .R 6 years, 6 months ago
- 1 answers
Sia ? 6 years, 6 months ago
Given, A (-2,-1), B (a, 0), C (4, b) and D (1, 2)
We know that the diagonals of a parallelogram bisect each other.
Therefore, the coordinates of the mid-point of AC are same as the coordinates of the mid-point of BD i.e.
{tex}\left( \frac { - 2 + 4 } { 2 } , \frac { - 1 + b } { 2 } \right) = \left( \frac { a + 1 } { 2 } , \frac { 0 + 2 } { 2 } \right){/tex}
{tex}\Rightarrow \quad \left( 1 , \frac { b - 1 } { 2 } \right) = \left( \frac { a + 1 } { 2 } , 1 \right){/tex}
{tex}\Rightarrow \frac { a + 1 } { 2 } = 1 \text { and } \frac { b - 1 } { 2 } = 1{/tex}
{tex}\Rightarrow{/tex}{tex}a + 1 = 2 \ and \ b - 1 = 2{/tex}
{tex}\Rightarrow{/tex}{tex}a = 1 \ and \ b = 3{/tex}
Hence, {tex}a = 1 \ and \ b = 3{/tex}
Posted by Alisha Ehsan 6 years, 11 months ago
- 3 answers
Posted by Preeti Roy 6 years, 11 months ago
- 1 answers
Posted by Pooja Gupta 6 years, 11 months ago
- 2 answers
Posted by Sneha Kashyap 6 years, 11 months ago
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Pawan Bagree 6 years, 11 months ago
Kuldeep Agrahari 6 years, 11 months ago
Posted by Nikki Saini 6 years, 11 months ago
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Posted by Hemanth .R 6 years, 11 months ago
- 2 answers
Yogita Ingle 6 years, 11 months ago
Total number of outcomes= 36
Favourable outcomes are : (1,1),(2,2) ,(3,3),(4,4),(5,5),(6,6)
Number of outcomes favourable = 6
{tex}Probability\;=\;\frac{Number\;of\;favorable\;outcome}{Total\;number\;of\;outcome}\;{/tex}
Required probability = P(getting the doublet) = 6/36 = ⅙
Hence, the probability of getting the doublet = ⅙.
Posted by Pawan Bagree 6 years, 11 months ago
- 5 answers
Pawan Bagree 6 years, 11 months ago
Puja Sahoo 6 years, 11 months ago
Posted by ????? ❤️ 6 years, 11 months ago
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Puja Sahoo 6 years, 11 months ago
Posted by Prince Kumar Modi 6 years, 11 months ago
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Yogita Ingle 6 years, 11 months ago
sin 90 = 1 and cos 90 = 0
Sin 90 + Cos 90
= 1 + 0
= 1
Posted by Suchana Goswami 6 years, 11 months ago
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Posted by Lovepreet Bawa 6 years, 11 months ago
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Posted by Prateek Sharma 6 years, 11 months ago
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Gaurav Seth 6 years, 11 months ago
| Meaning | Rational numbers refers to a number that can be expressed in a ratio of two integers. | An irrational number is one which can't be written as a ratio of two integers. |
| Fraction | Expressed in fraction, where denominator ≠ 0. | Cannot be expressed in fraction. |
| Includes | Perfect squares | Surds |
| Decimal expansion | Finite or recurring decimals | Non-finite or non-recurring decimals. |
Posted by Avika Chaudhary 6 years, 11 months ago
- 6 answers
Chētnà Pandey✌️ 6 years, 11 months ago
Posted by Kapil Kumar 6 years, 11 months ago
- 2 answers
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Pradhyumna G 6 years, 11 months ago
1Thank You