Kelli started keeping a reading log. the first night, she read 77 pages. Every day she reads 35 pages more. If this pattern continue, how many pages will she have read by days 53?

She read 1897 pages on day 53.

She read 52311 pages in 53 days.

Step-by-step explanation:

1st night=77 pages

2nd night=77+35 = 112pages

This is called an arithmetic sequence. That means the terms in the sequence have a common difference.

y=35x + (77-35) is the equation that models this sequence

y=35x+42

Replace x with 53 to get the number of pages she read on the 53rd day

y=35 (53) + 42=1897

Now if you wanted to know the number of pages she read by the end of the 53rd day then you will need to add up all the pages she read on each day:

77+112 + ... + 1897

=sum (35i+42, i=1 ... 53)

=52311