What is the 12th term of the sequence 15, 11, 7

Solution:

Given sequence is 15, 11, 7

The second term is 11, which is 4 less than the first term

The third term is 7, which is 4 less than the second

Hence, this sequence is an arithmetic sequence with a common difference of -4.

Any term in an AP is found by a_n = a₁ + (n-1) d

where a₁ = the first term and  d = the common difference. 

We are required to find a₁₂.

a₁₂ = 15 + 11 (-4)

= 15 - 44

= -29

Therefore, the 12th term is -29

What is the 12th term of the sequence 15, 11, 7

Summary:

The fifth term in the series 11, 7, 4 is -1.