A geometric sequence is defined by the equation an = (2)5 − 2n.

Part A: What are the first three terms of the sequence?

Part B: What is the value of r?

Part C: What is the value of a10?

Guest Dec 21, 2017

#1**+1 **

To find the first three terms, substitute n =1 n= 2 n= 3 in to the equation

n=1 a(1) = 2^(5-2(1)) = 8

n=2 2

n=3 .5

to get the next term of a geometric sequence, you multiply the previous term by 'r'

r is the value used to multiply the 1st term by to get the 2nd term 8(x) = 2 x = 2/8 = 1/4

a(10) = 2^(5-2(10)) = 2^(-15) = 1/(2^(15)) = 1/ 32768 = .000030518

ElectricPavlov
Dec 21, 2017

#1**+1 **

Best Answer

To find the first three terms, substitute n =1 n= 2 n= 3 in to the equation

n=1 a(1) = 2^(5-2(1)) = 8

n=2 2

n=3 .5

to get the next term of a geometric sequence, you multiply the previous term by 'r'

r is the value used to multiply the 1st term by to get the 2nd term 8(x) = 2 x = 2/8 = 1/4

a(10) = 2^(5-2(10)) = 2^(-15) = 1/(2^(15)) = 1/ 32768 = .000030518

ElectricPavlov
Dec 21, 2017