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P1 CIE question geometric sequences

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astarmathsandphysics:

100000=C(1/1.04+1/1.042+1/1.043+......1+1.0425
multiply both sides by 1/1.04
100000/1.04=C(1/1.042+1/1.043+......1+1.0425+1/1.04^26)
subtract the two sequences
100000-100000/1.04=C(1/1.04-1/1.04^26)
C=(100000-100000/1.04)/(1/1.04-1/1.04^26)

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