The fifth term of an arithmetic progression exceeds its second term by 9
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
The fifth term of an arithmetic progression exceeds its second term by 9. The twelfth term of the same progression is 41.
(a) Find the first term and the common difference of the progression.
(b) Obtain the sum of the first 12 terms.
(c) Determine which term of the progression will be equal to 68.