Question

write a recursive formula for the sequence
{a_n}={15,26,37,48,59,...}
a_1=15, a_n=a_n-1+10
a_1=15, a_n=a_n-1+11
a_1=15, a_n=a_n-1+15
a_1=15, a_n=a_n-1-5

Answer 1

are you sure?

Answer 2

If the recursive formula for the sequence is given by a_n = a_n-1 + 10, with a_1 = 15, it means that each term in the sequence is obtained by adding 10 to the previous term.

Therefore, the recursive formula for the sequence {a_n} = {15, 26, 37, 48, 59, ...} would be:

a_1 = 15
a_n = a_n-1 + 10

Answer 3

Apologies for the confusion. Let's reassess the given sequence.

The sequence {a_n} = {15, 26, 37, 48, 59, ...} appears to increase by 11 each time. Therefore, the recursive formula for this sequence would be:

a_1 = 15
a_n = a_n-1 + 11

This formula states that the first term (a_1) is 15, and each subsequent term (a_n) is obtained by adding 11 to the previous term (a_n-1).