The recursive rule for a sequence is a^n=a^(n-1)+7,where a^1=-15. what is the explicit rule for this sequence?

ANSWER

EXPLANATION

The recursive rule for the sequence is

In general the recursive rule is written as:

This implies that, d=7

The first term of the sequence is

The explicit rule is given by:

We substitute to get;

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

40 i don’t know lololol