Question

how to find the 15th term for the following sequence : 15,8,1,-6,-13

Answer 1

-7

Answer 2

There is a sequence of subtracting 7 every time so you would keep going until you get to the fifteenth term

Answer 3

15, 8, 1, -6, -13, -20, -27, -34, -41, -48, -55,-62, -69, -76, -83

Answer 4

-83 is the fifteenth term

Answer 5

first we need to find common difference between the numbers...to do that we subtract the first term from the second term....8 - 15 = -7

you will find that the common difference between all these numbers is -7

now to finish this, we have a formula
an = a1 + (n - 1) d
a1 = first term = 15
d = common difference = -7
n = number of term you want to find = 15
now we sub
a15 = 15 + (15 - 1)(-7)
a15 = 15 + (14) * -7
a15 = 15 + (-98)
a15 = 15 - 98
a15 = - 83

so the 15th term is -83