Question

The fifth the ninth the sixteenth term of an arithmetic progression are consecutive terms of a geometric progression find the common difference of the arithmetic progression in terms of the first term

Answer 1

Answer:

Step-by-step explanation:

If the arithmetic sequence has an initial term of a and a common difference of d,. the fifth term will be a + 4d. the ninth term will be a + 8d, ... three terms are the first three terms of a geometric sequence, call the common ratio r. ... set of solutions: for example, if a = 4 and d = 3, you get the answers 16, 28, 49. Add the common difference to the first term to get the second term. ... The sum of the first three terms of an arithmetic sequence is 111 and the fourth term is 49. ... the first term and \displaystyle d is the difference between consecutive terms. ... The ninth and tenth terms of an arithmetic sequence are, respectively, 87 and 99.