What is the recursive rule for the sequence 13, 27, 41, 55, a. an = an–1 + 14 b. an = 2an–1 + 14 c. an = a1 + 15 d. an = an–1 + 13

A. an = an–1 + 14

Step-by-step explanation:

13  ,   27 ,    41,   55,  

   +14     +14    +14

We are adding 14 each time

Take the previous term and add 14

an = an-1  +14

A.

Step-by-step explanation:

The given sequence : 13, 27, 41, 55, ...

The first term of the given sequence :

The common difference between the terms :

The recursive formula for any Arithmetic progression is given by :-

Thus, the recursive formula for given sequence will be :-

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

the answer is 99.