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The ninth term of an AP …

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The ninth term of an AP is -32 and the sum of its eleventh and thirteenth term is -94.Find the common difference of the AP

Posted by Varunika S 2 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Adithya Dev A 2 years, 11 months ago

a 9 = -32, a 11 + a 13 = -94. Therefore, a 9 = -32. a + 8d = -32 (1). And, a 11 + a 13 = -94. a + 10d + a + 12d = -94. 2a + 22d = -94. a + 11d = -47 (2). Solving (1) and (2), (2) - (1) ==> 3d = -15. ==> d = -5//

1Thank You

Ayush Choudhary 2 years, 11 months ago

d=-5

1Thank You

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