Question

Write a recursive formula for the sequence 15, 26, 48, 92, 180, ... Then find the next term.

Answer 1

15*2-4

Answer 2

26*2-4

Answer 3

180*2-4

Answer 4

What's a recursive formula tho?

Answer 5

Sargams is right, but you can also write:

26=15+(2^0)*11
48=26+(2^1)*11
92=48+(2^2)*11
180=92+(2^3)*11

So, in general, f(n+1)=f(n)+( 2^(n) )*11, starting with n=0 and f(0)=15.

Answer 6

a formula which repeats itself... term*2-4=successive term

Answer 7

I don't have an answer choice like that tho

\(a_n= 2a_n – 1 – 4,~ where~ a1 = 15; 356\)
\(a_n= 2a_n – 4,~ where~ a1 = 15; 356\)
\(a_n= 4 + 11 · 2^{n–1},~ where~ a1 = 15; 356\)
\(a_n= 3a_n – 1 – 19,~ where~ a1 = 15; 356\)

Answer 8

B

Answer 9

Write that one for your teacher and he/she is going to like it. xD