Find the sum of the first 7 terms in the following geometric series. Do not round.

1024+512+256 + ...

2032

Step-by-step explanation:

From the sequence, it is evident that the next term is half of the initial term.

1024/2=512

512/2=256

256/2=128

128/2=64

64/2=32

32/2=16

Therefore, the terms are

1024, 512, 256, 128, 64, 32, 16

The sum of these six terms are

1024+512+256+128+64+32+16=2032