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Answer:
for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by
=
= 144.
Step-by-step explanation:
i) from the given series we can see that the first term is = 120.
ii) let the common ratio be r.
iii) the second term is 20 = 120 × r
therefore r = 20 ÷ 120 =
iv) the third term is = 20 × r
therefore r = ÷ 20 =
v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by
=
= 144.