Question

HELP!! 30 POINTS AND WILL MARK BRAINLIEST One month, Henry's grandfather gives him a box of 523 baseball cards. Each month, starting the second month, Henry buys 24 baseball cards to add to this collection. What is the explicit rule for the number of baseball cards Henry has in his collection after n months? Enter your answer in the box.

Answer 1

Answer:

nth term =  523 + 24(n - 1

Step-by-step explanation:

This is modelled by an arithmetic series where first term a1 = 523 and common difference d = 24.

nth term = a1 + d(n - 1).

Here it is  523 + 24(n - 1)   (answer)

Answer 2

Answer:

The answer is:24n+499

Step-by-step explanation:

As we know Henry's grandfather gave him a box of 523 baseball cards in the first month.

from the second month Henry start to collect 24 baseball cards each month.

if the total process took n months, so Henry himself collected 24 baseball cards for 'n-1' months.

so total cards collected by Henry in (n-1) months is=24(n-1)

hence, Henry's total collection is=number of baseball cards his grandfather gave him+number of baseball cards collected by Henry himself

=523+24(n-1)

=523+24n-24

=24n+499