Answer:

number of terms 5_,_,_,_,_

first write all the givens and the missing value

n-1

1.given: r=2. formula:An=(a1)(r)

a1=5

an=?

assume all the of the given values into the formula

n-1

An=(a1)(r)

replace the An which the number of terms with a2, because the second term is what we're gonna solve first then the 3rd term and replace n with 2

2-1

a2=(5)(2)

subtract 2-1

1

a2=(5)(2)

multiply 5 times 2

a2=(5)(2)

a2=10

number of all terms:5,10,_,_,_

now lets solve the third term

do the same as i did in the second term

n-1

An=(a1)(r) (2)²=2×2=4

3-1

a3=(5)(2)

2

a3=(5)(2)

a3=(5)(4)

a3=20

number of all terms:5,10,30_,_

n-1

An=(a1)(r) (2)³=2×2×2=8

4-1

a4=(5)(2) a4=(5)(8)

3 a4=40

a4=(5)(2)

number of all terms:5,10,30,40

n-1

An=(a1)(r) (2)⁴=2×2×2×2=16

5-1

a5=(5)(2) a5=(5)(16)

4 a5=80

a5=(5)(2)

number of all terms:5,10,20,30,40,50

1.) answer is 5,10,20,30,40,50