Question

This is an arithmetic progression. please help!

A graduate is required to pay his education loan of RM3960 in 24 monthly instalments, with the first instalment being RM 50. Subsequent instalments are increased by RM 10 each month. What is the amount of the last instalment?​

Answer 1

• The last installment is RM 280

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Given

AP with:

• The first term a = 50,
• Common difference d = 10,
• Number of terms n = 24.

Solution

Use the nth term equation of AP to find the last installment:

• 
  `a_n=a_1+(n-1)d`
• 
  `a_(24)=50+(24-1)(10) = 50+23*10=50+230=280`