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Mathematics

If a b c are in AP prove that a^2(b+c) b^2(c+a) and c^2(a+b) are in AP

Posted by By SK Math Expert November 11, 2021Posted inAbstract Algebra, Mathematics, Multivariable Calculus
Question : If a b c are in AP prove that a^2(b+c) b^2(c+a) and c^2(a+b) are in AP Solution : Thus we prove that If a b c are in…
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Find Binomial expansion of (51)^4

Posted by By SK Math Expert November 11, 2021Posted inAbstract Algebra, Advanced Math, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : Find (51)^4 using Binomial expansion Solution : Step by solution of how to find (51)^4 using Binomial expansion is given below First we write how to Expand (X+a)^n…
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Find the sum of the numbers between 1 and 100 which are divisible by 2 and 5

Posted by By SK Math Expert November 11, 2021Posted inAbstract Algebra, Advanced Math, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : Find the sum of the numbers between 1 and 100 which are divisible by 2 and 5 Solution : We shall find step by step the sum of…
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How do we find sum of the series 1+3+5+7+…….?

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : How do we find sum of the series 1+3+5+7+…….? Solution : For the given series 1+3+5+7+……. Second term - First term = 3-1 =2 Third term – Second…
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how do we find sum of an arithmetic progression?

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : how do we find sum of an arithmetic progression? Solution : n terms of an arithmetic progression is a sequence of the form a, a+d, a+2d, a+3d, a+4d,.......a+(n-1)d…
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Find 15 th term of the sequence 1,1/2,0,-1/2,…

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable Calculus
Question : Find 15 th term of the sequence 1,1/2,0,-1/2,… Solution : Solution: Since 1, 1/2,0,-1/2,…is an AP It’s First term (a) = 1, Common difference(d) =-1/2. For nth term…
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what is formula of nth term of an arithmetic progression?

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : What is formula of nth term of an arithmetic progression? Solution : An arithmetic progression (AP) is a sequence of numbers of the form a, a+d, a+2d, a+3d,…
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is sequence of numbers between 1 and 100 divisible by 3 an arithmetic progression ?

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : is sequence of numbers between 1 and 100 divisible by 3 an arithmetic progression ? Solution : Yes Explanation : We know sequence of numbers between 1 and…
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Is sequence of odd numbers an arithmetic progression?

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable Calculus
Question : Is sequence of odd numbers an arithmetic progression? Solution : Yes Explanation : Sequence of odd numbers is 1,3,5,7,9,.......... for this sequence we calculate Second term - First…
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is sequence of even numbers is an arithmetic progression?

Posted by By SK Math Expert November 6, 2021Posted inAbstract Algebra, Mathematics, Multivariable CalculusTags: Arithmetic Progression
Question : Is sequence of even numbers is an arithmetic progression? Solution : Yes Explanation : Sequence of even numbers is 2,4,6,8,10,.......... for this sequence we calculate Second term -…
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