Question

Please explain every step

Answer 1

761680

Step-by-step explanation:

`\sf \boxed{\sum _(n=1)^(44)\:60\left(1.2\right)^(n-2)}`

Identify the following's:

First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r] = 1.2

Total Terms [n] = 44

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`\sf Geometric \ Sum \ of \ Terms = (a(r^n - 1))/(r-1)`

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Solving Steps:

`\rightarrow \sf (a(r^n - 1))/(r-1)`

`\rightarrow \sf (50(1.2^(44) - 1))/(1.2-1)`

`\rightarrow \sf 761679.5808`

`\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)`