The fifth and thirteenth terms of an arithmetic sequence are 25 and 65, respectively. Find:
(a) The first term.
(b) The common difference of the sequence.

Determine the number of terms in the arithmetic sequence: 70, 64, 58, ..., -14.

The sum of the first twenty terms of an arithmetic sequence is 840. If the common difference is 4, find:
a) The first term.
b) The sum of the first thirty terms.

Given the sequence: 10, 20, 40, ..., 327680.
a) Determine whether the sequence is arithmetic or geometric.
b) Find the number of terms in the sequence.
c) Find the sum of the terms from the tenth term to the last term.

(a) arithmetic sequence, (b) 14, (c) 500000

(a) geometric sequence, (b) 16, (c) 650240

(a) geometric sequence, (b) 18, (c) 700000

(a) arithmetic sequence, (b) 16, (c) 650000

The fifth term of an arithmetic sequence is 24, and the sum of the first ten terms is 265. What is the common difference in the sequence?

The price of an item will increase by RM 4 every month. If the current price is RM 258, what will its price be in ten months?

A person who buys an insurance policy pays an increasing premium every year: RM 1,000, RM 1,100, RM 1,200, and so on.
(a) Write a formula for the nth year’s premium.
(b) What is the premium for the eighth year?

You buy a TV and agree to pay RM 150 for the first month, RM 140 for the second month, RM 130 for the third month, and so on for fifteen months.
(a) What is the fifteenth payment?
(b) What is the total payment for the purchase?

A sales manager estimates that the company sales will increase by 6% every month. The sales for the first month are RM 20,000. Find:
(a) The sales for the fifth month.
(b) The total sales for the whole year.

The price of a house is expected to increase by 6% every year. If a house is now offered at RM 350,000, find the estimated price of the house after ten years.

Online Quiz (Chapter 1: Arithmetic and Geometric Sequences)

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Online Quiz (Chapter 1: Arithmetic and Geometric Sequences)

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