Math, asked by pritikparmar841, 8 months ago

How many terms of the sequence 18, 16, 14
should be taken so that their sum is zero?​

Answers

Answered by valorapearlmathias
1

Answer:

19 terms should be taken to get their sum as 0.

Step-by-step explanation:

Heya !!!

AP = 18 , 16 , 14 .....

Here,

First term ( A ) = 18

Common Difference ( D ) = 16-18 = -2

Sn = 0

N/2 × [ 2A + ( N - 1 ) × D ] = 0

N/2 × [ 2 × 18 + ( N - 1 ) × -2 ] = 0

N/2 × ( 36 - 2N + 2 ) = 0

N/2 × 38 - 2N = 0

N/2 × 2 ( 19 - N ) = 0

-N² + 19N = 0

N ( - n + 19 ) = 0

- n + 19 = 0

- n = -19

n = 19

Hence,

19 terms should be taken to get their sum as 0.

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Answered by manreetprabh11
0

Answer:Hi guys  question is

How many terms of the sequence 18, 16, 14

should be taken so that their sum is zero?

ANSWER IS

Step-by-step explanation:

19 terms should be taken to get their sum as 0.

ANSWER IS  CORRECT..

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