Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

The first ten terms are;

-10, -12, -14, -16, -18, -20, -22, -24, -26 and -28

Step-by-step explanation:

This sequence will be an arithmetic sequence since they have a "common difference".

The nth term of a sequence is

Tn = a+(n-1)d

a is the first term = -10

n is the number of terms

d is the common difference = -2

Second term is when n= 2

T2 = a+d

T2 = -10-2 = -13

When n= 3

T3 = a+2d

T3 = -10 + 2(-2)

T3 = -10 -4

T3 = -14

When n=4

T4 = a+3d

T4 = -10 +3(-2)

T4 = -10 - 6

T4 = -16

When n = 5

T5 = a+4d

T5 = -10 + 4(-2)

T5 = -10-8

T5 = -18

When n=6

T6 = a+5d

T6 = -10+5(-2)

T6 = -10-10

T6 = -20

When n= 7

T7 = a+6d

T7 = -10+6(-2)

T7 = -10-12

T7 = -22

When n= 8

T8 = a+7d

T8 = -10+7(-2)

T8 = -10-14

T8 = -24

When n= 9

T9 = a+8d

T9 = -10+8(-2)

T9 = -10-16

T9 = -26

When n= 10

T10 = a+9d

T10 = -10+9(-2)

T10 = -10 - 18

T10 = -28

Therefore the first ten terms are;

-10, -12, -14, -16, -18, -20, -22, -24, -26 and -28

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: