Question

John is saving for his trip to see the alamo he started with $24 in his savings account. every week he earns $15 for babysitting out of that he spends eight dollars and save the rest john uses the rule add seven to find out how much money he has at the end of each week what are the first eight numbers in the pattern

Answer 1

24, 31, 38, 45, 52, 59, 66, 73, 80

Answer 2

Since he started with $24 in his account, on addition of $7 weekly, the first 8 numbers will be 31,38,45,52,59,66,73

Explanation:

Opening savings balance = $24

every week he earns $15 for babysitting out of that he spends eight dollars and save the rest hence

Amount saved weekly = 7

To find the first 8 numbers in his pattern, the pattern can be shown using the arithmetic progression formula.

Tₙ = a + (n - 1)d where n is the number of term, d is the common difference and Tₙ is the nth term

In this instance, a =24, d= 7

therefore Tₙ = 24 + (n - 1)7

Tₙ = 17 + 7n

T₁ = 24

T₂ = 17 + 7(2) = 31

T₃ = 17 + 7(3) = 38

T₄ = 17 + 7(4) = 45

T₅ = 17 + 7(5) = 52

T₆ = 17 + 7(6) = 59

T₇ = 17 + 7(7) = 66

T₈ = 17 + 7(8) = 73

T₉ = 17 + 7(9) = 80

The numbers are 31,38,45,52,59,66,73