Five terms are in AP. The difference between the square of the 5th term and first term is 192
and the sum of 2nd and the 4th term is 16. Find the first 5 terms.
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Five terms are in AP. The difference between the square of the 5th term and first term is 192
and the sum of 2nd and the 4th term is 16. Find the first 5 terms.
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Answer:
let the first five terms are
a-2d,a-d,a,a+d,a+2d
Now,a-d+a+d=16
2a=16
a=8
Then,(a+2d)²-(a-2d)²=192
8ad=192
64d=192
d=3
First term is ,a-2d=8-6=2
a-d=8-3=5
a=8
a+d=11
a+2d=14
So, five terms are 2,5,8,11,14.
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