Find the first five terms of the sequence in which a1 = –10 and an = 4an – 1 + 7, if n ≥ 2.

The new sequence

-40, -160, -640, -2560, -10240, -40960

Step-by-step explanation:

It is given that,

aₙ = 4a₍ₙ₋₁₎ and a₁ = -10

To find the first 7 terms of the sequence

a₁ = -10

a₂ = 4a₁ = 4 * (-10) = -40

a₃ = 4a₂ = 4 * (-40) = -160

a₄ = 4a₃ = 4 * ( -160) = -640

a₅ = 4a₄ = 4 * (-640) = -2560

a₆ = 4a₅ = 4 * (-2560) = -10240

a₇ = 4a₆ = 4 * (-10240) = -40960

Therefore the new sequence

-40, -160, -640, -2560, -10240, -40960

Given Below

Step-by-step explanation:

Given

 for n greater than equal to 2

using above equation

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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