Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. Thi s sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?
1 answer:
Answer:
Tn = 75+25n
Step-by-step explanation:
The balance are in arithmetic progression
$100, $125, $150...
The formula for calculating the nth term of the sequence is expressed as;
Tn = a+(n-1)d
a =100
d = 125 - 100 = 150 - 125
d = 25
n is the number of terms
Substitute
Tn = 100+(n-1)*25
Tn = 100 + 25n-25
Tn = 75+25n
Hence the nth term of the sequence is Tn = 75+25n
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