The first day he jogged for 25 minutes, the next day he wanted to jog for four minutes more than the previous day. He wanted to continue increasing the same amount like this for every one of the 30 days in April. Write a recursive rule that represents the sequence.

Step-by-step explanation:

The second statement states he wants to add four minutes more than the previous day. So you add 4 to the previous term by calculating the next term.

Let a0 be the previous term

Let a1 be the next term

Recursive rule will be:

a1=a0+4

The first day he jogged for 25 minutes.

the day afterm he jodef for (25 + 4) minutes.

and he wants to keep ading 4 minutes per day, so if Xₙ is the amount of time that he ran each day (X₁ = 25 minutes, X₂ = 29 minutes, and so on)

The recursive relation will be:

Xₙ = Xₙ₋₁ + 4 min

for n > 1 and n ≤ 30 (because he will do it only for the 30 days of April), where X₁ = 25 minutes