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