# Solution - Arithmetic Progression

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ConceptArithmetic Progression

#### Question

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

#### Solution

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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?

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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

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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 ....

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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.

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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 ...

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#### Reference Material

Solution for concept: Arithmetic Progression. For the course 8th-10th CBSE
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