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Arithmetic Progressions

Question

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If last term of an AP is – 10 and first term and common difference are 100, –2 then the no. of terms ‘n’ will be : (a) 55 (b) 56 (c) 57 (d) 58

Solution

a subscript n equals a plus left parenthesis n minus 1 right parenthesis d rightwards double arrow negative 10 equals 100 plus left parenthesis n minus 1 right parenthesis space cross times space minus 2 rightwards double arrow fraction numerator negative 110 over denominator negative 2 end fraction equals n minus 1 rightwards double arrow n equals 56

Ans. (b)

Some More Questions From Arithmetic Progressions Chapter

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

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

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

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

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

The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.

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

The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a – 10, d = 10

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = –2, d = 0

Write first four terms of the AP, when the first term a and the common difference d are given as follows:
a = 4, d = – 3

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