Session 2013/2014 16. (a) In an arithmetic progression, the sum of the first four terms is 46 and the seventh term exceeds twice of the second term by 5. Obtain the first term and the common difference for the progression. Hence, calculate the sum of the first ten even terms of the progression. A ball is dropped from a height of 2 m. Each time the ball hits the floor, it (b) 3 of its previous height. 4. bounces vertically to a height that is (i) (ii) Find the height of the ball at the tenth bounce. Find the total distance that the ball will travel before the eleventh bounce.

Q: Geometric progression ::  4\ A health club started in the year 2011 with 13 members. Its goal was…

A: Solution: starting memebers in 2011 = 13 revenue for 2011 = 13*30 = 390 revenue for 2012 = 390 +…

Q: 15. Using the arithmetic progression in number 14, what is the 8th term of the sequence? a. 37 b. 38…

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Q: Find the common difference of an arithmetic progression whose first term and whose eighth term is…

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Q: The sum of the first n terms of an arithmetic progression is given sn = 7n2 - 8n. Find  first term…

A: We have the sum of first n terms is sn=7n2-8n Now, the first term is a1 and this is equal to the sum…

Q: The third term of a G.P. is 12 and 6th term is 96. Find the sum of nine terms afist alumo adT (8)…

A: Consider the provided question, The nth term of G.P is given by, an=arn-1where, a is the first termn…

Q: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the…

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Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: In an Arithmetic Progression, the 8th term is twice the 4th term and the 20th term is 40. Find the…

A: According to our guidelines, in case of multiple questions we are supposed to answer the first…

Q: An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum…

A: For an arithmetic progression, the difference between two consecutive terms is a constant. An…

Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: 5. Find the indicated term in each geometric progression. 2.5 a. 3, 6, 12, ... 8th term b. 4,-8, 16,…

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Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: 10. (a) Explain why the first n natural numbers, {1. 2, 3, -, (n-1), n}, is an arithmetic…

A: 10. In this question, we need to show that the sum of first n natural numbers is 12nn+1 and then we…

Q: In the arithmetic progression 2, 5, 8, . upto 50 terms, and 3, 5, 7,9, .upto 60 terms, find how many…

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Q: 3. Find the indicated term in each arithmetic progression. a. a, = 4, d= 5, n=12 %3D 2. b. a d =-4,…

A: We have to find indicated term in Questions.

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.