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Calculate the sum of the infinite series – 18 + 9 – 4.5+ ...

Sagot :

the sum of the infinite series is -12

Sum of infinite series

The formula for calculating the sum to infinite series of the sequence is expressed as:

S∞ = a/1-r

  • a is the first term = -18
  • r is the common ratio = -0.5

Substitute

S∞ = -18/1-(-0.5)

S∞ =-18/1.5

S∞ = -12

Hence the sum of the infinite series is -12

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