Question

Find the next four terms in the arithmetic sequence. 7, 11, 15,

Answer 1

General formula a arithmetic progression:


`\boxed { \boxed {T_n= a_1 + (n-1)d}}`


`\text {Given that } a_ 1 = 7 \text { and } d = 4,`


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


`T_n = 7 + 4n - 4`


`T_n = 3 + 4n`

The nth term for this sequence is :


`\boxed {\boxed {T_n = 3 + 4n}}`

Find the next 4 terms:


`\text {When n = 4, }T_4 = 3 + 4(4) = 19`


`\text {When n = 5, }T_5 = 3 + 4(5) = 23`


`\text {When n = 6, }T_6 = 3 + 4(6) = 27`


`\text {When n = 7, }T_7 = 3 + 4(7) = 31`

Answer: The next 4 terms are 29, 23, 37 and 31.

Answer 2

The next four terms (starting at a4) of the sequence {3+4n} = 19, 23, 27, 31