## On July 1, a golfer hit 30 golf balls in her backyard net. On July 2, she hit 35 balls. On July 3’she hit 40 balls. She continu

Question

On July 1, a golfer hit 30 golf balls in her backyard net. On July 2, she hit
35 balls. On July 3’she hit 40 balls. She continues in this pattern until July 15,
on which she hit the last of her golf balls. What is the total balls she hit from
July 1st to July 15th?*

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1 week 2022-01-12T01:31:25+00:00 1 Answer 0 views 0

975

Step-by-step explanation:

There are two ways you can solve this. First, you can write down all of the numbers and add it all together.

30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

Another  way to do it is to plug it into a formula.

First, you have to find the first and last number of the sequence. The problem gives you the first number (30) so you plug the number into the arithmetic sequence formula for the last one

a{n}=a{1}+(n-1)d

an is the term you are looking for in the sequence

a1 is the first term in the sequence

d is the difference between the terms

a15=30+(15-1)5

a15=100

The first and last number are 30 and 100

Plug it into the formula

Sn=n((a1+an)/2)

Sn is going to be the total sum

n is the number of terms

a1 is the first term

an is the last term

Sn = 15((30+100)/2)

Sn=15*65

Sn= 975