find the sum of 100 terms of the A.P 0.7, 0.71 0.72, ..........
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Solution is in the attachment
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Answered by
30
Answer:
119.5
Step-by-step explanation:
Given series is 0.7, 0.71, 0.72.
Clearly, this series is in AP with:
First term a = 0.7
Common difference(d) = 0.71 - 0.7
= 0.01
Now,
We know that Sum of n terms sn = (n/2)[2a + (n - 1) * d]
Here, we have to find sum of 100 terms.So,
S₁₀₀ = (n/2)[2(0.7) + (100 - 1) * 0.01]
= (100/2)[1.4 + 99 * 0.01]
= (100/2)[2.39]
= 50 * 2.39
= 119.5.
Hope it helps!
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