numbers of an arithmetic sequence are given. The Sum of all even numbers are and sum of all odd numbers are . Find the general term of that arithmetic sequence.
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numbers of an arithmetic sequence are given. The Sum of all even numbers are and sum of ... - did not match any news results.
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The sum of n terms of an arithmetic sequence can be calculated by S
n
=
2
n
[2a+(n−1)d]
Where n = number of terms ⇒ 20
a = first even term ⇒ 2
d = common difference of A.P. ⇒ 2
Apply the given data in the formula,
S
20
=
2
20
[2×2+(20−1)2]
=10[4+38]
=10[42]
=420
So, the sum of first 20 even terms of the A.P. is 420.
Step-by-step explanation:
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