Consider the following sequence: 7, 11, 15, 19, 23, . . .
The common difference is
What is the Explicit equation for the sequence?
t(n) = n +

What is the 20th term?

Step-by-step explanation:

This is an arithmetic progression.

It starts at 7 and keeps on adding 4.

The common difference is 4

The explicit equation is

t_n = a + (n - 1)*d

a =  7

d = 4

t_n = 7 + (n - 1)*4

t_n = 7 + 4n - 4

t_n = 4n + 3

t_20

t_20 = 4*20 + 3

t_20 = 83

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2