Question

Can someone pleaseeee help me

Answer 1

a). Common difference = 4

b).
`T_n=4n+3`

c). 51st term = 207

Explanation:

Given arithmetic sequence is,

7, 11, 15, 19......

a). Common difference = Second term - First term

= 11 - 7

= 4

b). nth term of an arithmetic sequence is given by,

`T_n=a+(n-1)d`

Here, n = number of term

a = First term

d = common difference

By substituting the values in the given formula,

`T_n=7+(n-1)4`

`T_n=4n+3`

c). 51st term of the sequence will be,

`T_(51)=7+(51-1)4`

= 7 + 200

= 207