Our Courses Compound Interest is being used to calculate the total investment across over time. Suppose John invests $1000 in the bank. He leaves the money in the bank for 4 years, and are paid an interest rate of 10% per annum. The interest is added to his investment each year, so the total value […]

# Sequences and Series

# Geometric Sequence | Math Help

Our Courses A geometric sequence is also referred as a geometric progression. Each term of a geometric sequence can be obtained from the previous one my multiplying by the same non-zero constant. For example, \(2, \ 6, \ 18, \ 54, \cdots \) is a geometric sequence as each term can be obtained by multiplying […]

# Arithmetic Sequence | Maths Help

An Arithmetic Sequence is a sequence in which each term differs from the previous one by the same fixed number. It cal also be referred to as an arithmetic progression. For example, 2, 5, 8, 11, … 10, 20, 30, 40, … 6, 4, 2, 0, 02, … Algebraic Definition of Arithmetic Sequence If \( […]

# General Term of a Number Sequence

The general term of a number sequence is one of many ways of defining sequences. Consider the tower of bricks. The first row has five bricks on top of the pile, the second row has six bricks, and the third row has seven bricks. If \( T_n \) represents the number of bricks in row […]

# Understanding Number Sequence

Number Sequence or progression is ordered list of numbers defined by a pattern or rule. The numbers in the sequence are said to be its numbers or its terms. A sequence which continues indefinitely is called an infinite sequence. A sequence which ends is called finite sequence. For example, 2, 5, 8, 11, … form […]

# Geometric Sequence using Logarithms

Applications of Geometric Sequence using Logarithms Geometric Sequence using Logarithms is being used for finding the number of terms of geometric sequences. Question 1 Find the largest 5 digit term of the sequence \( 2, 4, 8, 16, \cdots\). Question 2 Find the smallest 5 digits term of the sequence \( 1, 3, 9, 27, […]

# Geometric Series for Time Payments

Time payments is are calculated based on Geometric Series for reducible compound interests. Basically geometric series formula is used for handling this situation. Worked Examples of Geometric Series for Time Payments 1 John takes out a loan of $100 000 on 1st January 2001 for a home loan. Interest is charged at 12 % per […]