The 10th term of an AP is 75 and the sum of the first 15 terms is 1035. Write two equations in terms of a and d for the 10th term and the sum of the first 15 terms. Hence, find the first term and the common difference Determine the 12th term of the progression

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Q: Write the sum of the two terms T24,5 + T24,6 in a single term.

A: This question from pascals triangle. Lets solve the question

Q: The sum of three consecutive multiples of 7 is 357 . FInd the smallest multiple

A: solution: Let the three consecutive multiples of 7 is denoted by 7x,7x+1 and 7x+2. It is given that…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.