(a) The first 3 terms of an arithmetic progression are ?, 5?, 7? − 4. Find (i) the value of ?,  (ii) the sum of the first 7 terms.

Q: The sum of n terms of two arithmetic progressions are in the ratio 5n +4 : 9n + 6. Find the ratio of…

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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: Faith borrowed the sum of 24000 from promise with and arrangement to pay back in 24 annual…

A: The arithmetic progression is the series which has a common difference. The common difference is the…

Q: what is the sum of the first 11 terms of geometric progression

A: The sum of the first 11 terms of geometric progression

Q: Find the sum of the first n terms of:

A: Sum of n terms of geometric seriesSn=a(rn-1)r-1where a= first termr=common ration= number of term

Q: Two positive numbers x and y are in the sequence 4, x, y, 12. The first three numbers form an…

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Q: Find the sum of the first 15 terms of the arithmeticsequence with first term -4 and common…

A: Consider the given information as a=-4 and d=2

Q: The partial sum - 2 + ( – 4) + (– 8) + · · · + ( – 64) equals

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

Q: {-5, -3, -1, 1, .} {100, 107, 114, 121, ..}

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Q: (ii) Verify whether the sequence a, =4" +5 is a solution of the recurrenc %3D relation a…

A: Given that, the sequence is an=4n+5 and the recurrence relation is an=5an-2-4an-2. Obtain an-1.…

Q: Find the 53rd term of the arithmetic sequence 27, 11, -5, ...27,11,−5,...

A: The given arithmetic sequence is  27, 11, -5, ...............  The first term a = 27 difference d =…

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

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Q: 2. Deborah's grandmother will give her an amount of money on every birthday, starting from her first…

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Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

Q: find the 20 term in a geometric progression 1,2,4...

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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: 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: Given the sequence of numbers write a recursive equation 6, -2, -10, -18, -26,...

A: An arithmetic sequence is a collection of numbers in which repetition is allowed and an arithmetic…

Q: Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 …

A: To find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 ...

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…

Q: What is the formula of the sequence -6,-3,-2,-3/2,-6/5...

A: The sequence is -6,-3,-2,-3/2,-6/5...

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5