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1.6.13 Standard formulae for arithmetic series (A-level only)

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Question 35

An environmental initiative requires a company to make monthly carbon-offset payments. The payment in the first month is P1=£4,250P_1 = £4,250P1​=£4,250, and the payment in the second month is P2=£5,375P_2 = £5,375P2​=£5,375. The monthly payments PnP_nPn​ follow an arithmetic progression. The final payment made is £54,875£54,875£54,875.

Find

a.

the total number of months for which the company made payments,

[2]
b.

the total sum of all carbon-offset payments made over the duration of the initiative.

[2]

1.6.13 Standard formulae for arithmetic series (A-level only) Questions

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