Question

Ana's statistics skills have been improving during her senior year at Fletcher High School. On her first end-of-the-week assessment she scored 57 points, then she scored 61 and 65 on her next two assessments. If her scores continued to increase at the same rate, what will be her score on the 9th assessment?

Answer 1

3-9= 6  6x4=24 65+24=89 so 89

Answer 2

Answer: She got 89 score on the 9 th assessment.

Step-by-step explanation:

Since we have given that

Scores she scored on her first and next two of the week assessment is given below:

57, 61, 65.........

So, it forms arithmetic progression.

Here, a = 57

d = $a_2-a_1=61-57=4$

We need to find the score on the 9th assessment.

Here, n = 9

As we know the formula for "n th term":

$a_n=a+n-1)d\\\\a_9=a+(9-1)d\\\\=a+8d\\\\=57+8\times 4\\\\=57+32\\\\=89$

Hence, She got 89 score on the 9 th assessment.