Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on the third day, $8 on the fourth day, and continues this pattern the rest of the week. If the bike costs $150, Carla will
enough money to buy the bike before the start of summer.

Carla will have

.

Carla will have $127

Step-by-step explanation:

Carla saves $1 on the first day of the week, $2 on the second day, $4 on the third day, $8 on the fourth day, and so on.

This series of numbers corresponds to a geometric sequence of first term a1=1 and common ratio r=2.

We need to find the sum of n=7 terms of that sequence.

The sum of a geometric sequence is given by:

At the end of the week, Carla will have $127, not enough to pay for the bike before the start of summer.

Carla will have $127

d. vertex

step-by-step explanation: