First five numbers of a sequence

Question

Is 4,9,14,19,24 arithmetic or exponential or other.

whats its recursive sequence

WHATS it’s explicit sequence and the 99th term

Answer 1

Note there is a common difference between consecutive terms.

9 - 4 = 5

14 - 9 = 5

19 - 14 = 5

etc.

That makes it an arithmetic series. Let a₁ = 4. Note that

a₂ = a₁ + 5 = 9

a₃ = a₁ + 5 + 5 = a₁ + (3 - 1)(5) = 14

a₄ = a₁ + 5 + 5 + 5 = a₁ + (4 - 1)(5) = 19

Can you see the pattern here?

a_n+1 = a_n + 5

a_n = a₁ + 5(n - 1) = 4 + 5(n - 1)

a_n = 4 + 5(n - 1)

Plug in n=99 to get a₉₉,