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How many terms of the AP -15, -13, -11 must be taken to give a sum of -55 explain the reason for double answer

Posted by Shiva Shiva 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Adithya Dev A 4 years, 5 months ago

The reason is the formation of a quadratic equation.

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Adithya Dev A 4 years, 5 months ago

Sn = n/2 (2a + (n - 1)d) = n/2 (-30 + 2n - 2). n (-30 + 2n - 2) = -110. -30n + 2n^2 - 2n = -110. 2n^2 -32n + 110 = 0. n^2 - 16n + 55 = 0 (S = -16, P = 55, No. = -11, -5). Therefore, n = 11, 5// On confirmation, we get n = 5.

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