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Category: Algebra

Logarithms

In this article, we shall study to solve problems on logarithms in which a relation is given using which we have to prove another relation. Laws of Logarithms Log a + Log b = Log (ab) (Law of Product) Log a – log b = log (a/b) b ≠ 0 (law of Quotient) Log am […]

Algebra

Use of the Laws of Logarithms: Set – V

Post author By Hemant More
Post date January 11, 2021
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Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – V (Change of Base Rule) In the next article, we shall study to solve more problems on the laws of logarithms to prove given logarithmic relation. In this article, we shall study problems based on the change of base rule. […]

Algebra

Use of the Laws of Logarithms: Set – II

Post author By Hemant More
Post date January 10, 2021
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Science > Mathematics > Algebra > Logarithms > Use of the Laws of Logarithms Set – II In the last article, we have studied to solve problems on the laws of logarithms to evaluate or simplify given logarithmic expression. In this article, we shall study to solve more problems on these laws to prove given […]

Algebra

Sequence

A sequence is a function whose domain is the set N of natural numbers. The sequence is generally denoted by a and its image is denoted by a(n) or t(n). The terms of the sequence are represented by a1, a2, a3, ….., an or t1, t2, t3, ….., tn A sequence whose range is a subset […]

Algebra

Geometric Progression (G.P.)

Post author By Hemant More
Post date November 18, 2020
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In last few articles, we have studied arithmetic progression. In this article, we shall study geometric progression (G.P.). A sequence (tn) is said to be a geometric progression (G.P.) if the ratio tn + ! /tn = constant for all n ∈ N The constant ratio is called the common ratio of the G.P. and is denoted by letter ‘r’. […]

Algebra

Sum of Arithmetic Progression

Post author By Hemant More
Post date November 18, 2020
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In the last article, we have studied the general term of an arithmetic progression. In this article, we shall study to find the sum of arithmetic progression. General Term or nth term of an Arithmetic Progression: If ‘a’ is the first term and ‘d’ is the common difference of an A.P. then the nth term is […]

Algebra

Arithmetic Progression

In this article, we shall study series, progression, and arithmetic progression (A.P.) Series: If a1, a2, a3, ….., an. is a sequence, then the expression a1 + a2 + a3 + …..+ an is called series. Progression: It is not the case every time that the terms of sequence follow certain pattern so that a specific formula for the nth […]