What is the 8th term of the geometric sequence 4, −20, 100, …? −312,500 −12,500 62,500 1,562,500?

Let us first check the common ratio for this Geometric series .

-20/ 4= -5

100/-20 = -5

Ratio of any term with it's previous term is -5 so that is the common ratio here .

here first term a= 4 and common ratio r= -5

we know nth term of geometric series is an= a r^(n-1)

let us plug n= 8 a= 4 and r= -5 a8 = 4 ( -5)^(8-1)

a8 = 4 (-78125) = -312500

Answer : -312500

5x+2x=49

7x=49

x=7. 35 apples

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.