A.P :- -10,-12,-14,-16,......upto 15 terms
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Answered by
1
-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,-30,-32,-34,-36,-38
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Answer:
First term of the given arithmetic series = 12
Second term of the given arithmetic series = 15
Third term of the given arithmetic series = 18
Fourth term of the given arithmetic series = 21
Now, Second term - First term = 15 - 12 = 3
Third term - Second term = 18 - 15 = 3
Therefore, common difference of the given arithmetic series is 3.
The number of terms of the given A. P. series (n) = 14
We know that the sum of first n terms of the Arithmetic Progress, whose first term = a and common difference = d is
S
n
=
2
n
[2a+(n−1)d]
S
14
=
2
14
[2×12+(14−1)3]
S
14
=7[24+39]
S
14
=441
Explanation:
=441
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