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Algebra: Sequence and Series Test-3

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Question 1

The sum 9 + 16 + 25 + 36 + â€¦.. + 100 is equal to:

A

350

B

380

C

400

D

420

Question 1 Explanation:

Let p =sum of square of first 10 natural numbers q= sum of square of 1st 2 natural numbers.
Thus the given series is p-q Thus the series $ \begin{array}{l}=\frac{10(11)(21)}{6}-5\\=385-5\\=380\end{array}$

Question 2

Find the sum of the first five terms of the following series. $ \displaystyle \frac{1}{1\times 4}+\frac{1}{4\times 7}+\frac{1}{7\times 10}+..........+$