Question

Please explain every step

Answer 1

Answer:

761680

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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$\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}$

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Solving Steps:

<em />$\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}$<em />

<em />

<em />$\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}$<em />

<em />

<em />$\rightarrow \sf 761679.5808$<em />

<em />

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