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Given that 2x, 5,6-x are the first three terms of an AP, what will be it's 10th term?

Posted by Mehak Dhalia 6 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

Maheshwari Mansi 6 years, 10 months ago

-19

1Thank You

Sumit Kumar 5 years, 8 months ago

a=2x and a2=5 So, d=a2-a=5-2x-(i) d=a3-a2= 6x-5 (ii) Comparing i and ii We get, x=5/4 So, d=5/2 an=a+(n-1)d a10=5+(10-1)(5/2) a10=5+45/2 a10=55/2 I thing you understood.

1Thank You

Yogita Ingle 6 years, 10 months ago

common difference (d) = common
So, 5 - 2x = 6 - x - 5
4 = x
Value of x = 4.
So, a = first term = 2x = 8
d = - 3.
a₁₀ = a + 9d = 8 - 27 = -19
Tenth term is - 17.

1Thank You

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