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#### Question

The 16^{th} term of an A.P. is five times its third term. If its 10^{th} term is 41, then find the sum of its first fifteen terms.

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Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 instlments, each instalment being less than the preceding instalment by Rs. 10.

What should be the first and the last instalments?

The first three terms of an AP respectively are 3y – 1, 3y + 5 and 5y + 1. Then y equals:

(A) –3

(B) 4

(C) 5

(D) 2

Which of the following are APs? If they form an A.P. find the common difference *d* and write three more terms.

`-1/2, -1/2, -1/2, -1/2 ....`

In which of the following situations, does the list of numbers involved make as arithmetic progression and why?

The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.

Which of the following are APs? If they form an A.P. find the common difference *d* and write three more terms.

`sqrt2, sqrt8, sqrt18, sqrt32 ...`