What is the 52nd term of the sequence (-38,-45,-52,-59 ...)

Answer: - 395

Step-by-step explanation: The sequence is in form of Arithmetic sequence, if you check properly, the difference between the 2nd number and the 1st number is the same as the difference between the 3 rd and the 2nd ...

This difference is called common difference and it's denote with d.

From the sequence given d = - 7

the 52nd term = a + 51d, where " a" is the first term

= - 38 + 51 (-7)

= - 38 - 357

= - 395