In an arithmetic progression, the sum of the first five terms is 30, and the third term is equalto the sum of the first two. Write down the first five terms of the progression.

Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

Q: Find the first five terms of the arithmetic progression whose fourth and eleventh terms are 30 and…

A: Given the fourth and eleventh terms of an arithmetic progression is 30 and 107

Q: A man driving at 60 miles per hour(88 feet per second)applied his brakes and came to a complete stop…

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Q: Find the seventh term of the arithmetic progression x, x+y, x+2y,....

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Q: For the arithmetic progression: 5+9+13+……   . Find the sum of the first 40 terms.

A: For the arithmetic progression: 5+9+13+…… n = 40 we have to find the sum of the first 40 terms, S40…

Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: The first three terms of an arithmetic progression are 2x, 5 and 6 – x.(i) What is the common…

A: The objective of the question is to find the common difference, the 9th term, and the sum of the…

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.