MATH SOLVE

2 months ago

Q:
# PLEASE HELP,NOT HARDAndrew earns an allowance of $4 the first week, $17 the next week, $30 the following week, and so on. How much will Andrew earn over the course of 10 weeks?

Accepted Solution

A:

$625 Andrew will earn over the course of 10 weeks.It is given that Andrew earns an allowance of $4 the first week, $17 the next week, $30 and so on.It is required to find how much will Andrew earn over the course of 10 weeks.What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.This is the question of an arithmetic sequence, the sequence is:4, 17, 30,......Here first term a = 4and common difference d = 17-4 β13The sum of the arithmetic sequence for the number of 10th terms.[tex]\rm S_n=\frac{n}{2} [2a+(n-1)d][/tex][tex]\rm S_n=[/tex] The sum of the arithmetic sequenceNumber of terms n = 10Putting the above values in the formula, we get:[tex]\rm S_n=\frac{10}{2} [2\times4+(10-1)\times13][/tex][tex]\rm S_1_0=5[8+9\times13]\\\\\rm S_1_0=5[125]\\\\\rm S_1_0 = 625[/tex]Thus, the $625 Andrew will earn over the course of 10 weeks.Learn more about the sequence here:brainly.com/question/21961097