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In a AP GIVEN D=5,S9=75 evaluate …

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In a AP GIVEN D=5,S9=75 evaluate A and A9

Posted by Himanshu Mishra 5 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

꧁༒ Shaurya༻ 5 years, 2 months ago

Hm this is correct

0Thank You

Yogita Ingle 5 years, 2 months ago

d = 5

S9 = 75

By applying the formula

S_n = n / 2 + ( 2a + ( n - 1 ) × d

75 = 9 / 2 + (2a + ( 9 - 1 ) × 5

75 = 9 / 2 + ( 2a + 40 )

75 × 2 / 9 = 2a + 40

50 / 3 = 2a + 40

50 / 3 - 40 / 1 = 2a

by taking LCM we will get

- 70 / 3 = 2a

a = - 70 / 3 × 2

a = - 35 / 3.

a₉ = a + 8d

= -35 / 3 + 8 × 5

= - 35 / 3 + 40

= -35 + 120 / 3

= 95 / 3.

1Thank You

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