Question

each small square represents one square unit. Determine whether the areas of the figures form in arithmetic sequence. If so, choose a function S that represents the arithmetic sequence and find F ( 30 ).

Answer 1

Count the squares

• The sequence is 4,9,25

Lets find common difference

`\\ \sf\longmapsto d=t_2-t_1`

`\\ \sf\longmapsto 9-4=25-9`

`\\ \sf\longmapsto 5\\eq 16`

Hence it's not an arithmetic sequence

Note:-

The common formula of given sequence is

`\\ \sf\longmapsto f(n)=n^2,n=\{2,3,5\}`

Answer 2

• A. Not an arithmetic sequence

Explanation:

Your choice is correct.

The sequence is:

• 4, 9, 25

The difference is not common:

• 9 - 4 = 5
• 25 - 9 = 16
• 5 ≠ 16

Correct choice is A