n term of an arithmetic sequence is 4n+2 find sum of first 25 team of the sequence
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Answer:
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Step-by-step explanation:
n
th
term T
n
=1−4n
put, n=1, T
1
=a=1−4(1)=−3
put, n=2, T
2
=1−4(2)=−7
Common difference, d=T
2
−T
1
=−7−(−3)=−4
So, we have a=−3, d=−4, n=25, to find the sum.
Sum, S
n
=
2
n
(2a+(n−1)d)
S
25
=
2
25
(2(−3)+(25−1)(−4))
S
25
=
2
25
(−112)=25×(−51)
S
25
=−1275
This is the sum.
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