The explicit rule for a sequence is an=7(−4)n−1 . what is the recursive rule for the sequence? an=−4(an−1),a1=7 an=−7(an−1),a1=4 an=−7(an+1),a1=4 an=−4(an+1),a1=7

Option (a) is correct.

The recursive rule for the given sequence is with

Step-by-step explanation:

The explicit sequence of the geometric sequence is given by:

where,  

is the first term

r is the common ratio  

n is the number of terms

For the given explicit rule,

Comparing with above sequence , we have,

and r = -4

Recursive formula for the geometric sequence having and r = -4  is given by:

Putting values, we get,

Hence, the recursive rule for the given sequence is with

hence, option (a) is correct.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !