Math, asked by niteshshaw723, 7 months ago

please answer this question ​

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Answered by studyhard2005
2

Answer:

15

Step-by-step explanation:

a = 21, d = - 3, Sn = 0, n = ?

We know,

sn =  \frac{n}{2} (2a + (n - 1)d)

0 =  \frac{n}{2} (42 + (n - 1) - 3)

0 = n(42 - 3n + 3)

0 = n(45 - 3n)

0 = 45 - 3n

3n = 45

n = 15

Answered by singhkarishma882
1

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a = 21

d = a1- a2

d =  - 3

s{n} = 0

sn =  \frac{n}{2} (2a + ( - 1)d) \\  \frac{0 \times 2}{n}  = 2 + (n -1)d \\ 2 + (n - 1)d = 0 \\ n - 1 =  \frac{ - 2a}{d}  \\ n - 1 =  \frac{ - 2 \times 21}{ - 3}  \\ n =  \frac{42}{3}  + 1 \\ n = 14 + 1 \\ n = 15

So, 15 terms must be added to get the sum 0.

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