Question

The sum of how many terms of the AP 14 12 10 will be 0 ka answer

Answer 1

Answer:

15 terms

Step-by-step explanation:

the AP is 14, 12, 10.....….

a = 14

d = -2

Sn = 0

Sn

$= \frac{n}{2} (2a + (n - 1)d) \\ 0 = \frac{n}{2} (2(14) + (n - 1)( - 2)) \\ 0 = \frac{n}{2} (28 - 2n + 2) \\ 0 = \frac{n}{2} (30 - 2n) \\ 0 = \frac{n}{2} \times 2(15 - n) \\ 0 = n(15 - n) \\ n = 0 \: \: \: \: 15 - n = 0 \\ n = 15$

as number of terms can't be zero we take n = 15

sum of 15 terms of the given AP is 0

Hope you get your answer