Answer:
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