The first term of an arithmetic progression is and the common difference is

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The first term of an arithmetic progression is

4

and the common difference is

3

. Its last term is

64

. (i) Form an equation to find the number of terms

n

in the progression. (ii) Using the value of

n

found in part (i), compute the sum of all the terms. (iii) If the sum obtained in part (ii) is changed to

750

while keeping the first term and common difference the same, explain whether the last term would remain

64

. Justify your answer with calculations.