1. Write down the first five terms of the geometric progression C. Geometricsequ which has first term 1 and common ratio ½. 2. Find the 11th and 22th terms of the geometric sequence with first term 3 and common ratio 2. 3. Find the 6th term of the geometric sequence 2,-6, 18,...,

Q: D. Determine the indicated term in the given geometric sequence, 1. a (1,3, 9, ...) 2. a (2,-4, 8..)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: 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: 5) The first, fifth, and thirteenth terms of an arithmetic sequence, where d + 0, are the first 3…

A: We have to find the common difference and common ratio

Q: a The sum of the first 10 terms of an arithmetic progression in which the first term 5. is 8 is 620.…

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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: If 4, x, y form an arithmetic progression and x, y, 18 form a geometric progression, what is the…

A: Three numbers a,b,c are A.P. then the difference between the two consecutive numbers remains…

Q: Directions; Find the sum of the infinite geometric sequence 1. 4.64, 16, 4, 1 2. 120, 12, 6/5,. 3.…

A: Note: The option 1 is considered as 64, 16, 4, 1,… .   A geometric sequence is represented as a, ar,…

Q: (ii) Find the sum of the first eight terms of the sequenc 1.1. 8 4 1....

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Q: 3 ) Determine the commnon difference, the fifth term, the nth term, and the 100th term of the…

A: An arithmetic sequence can be defined by an = a1+n-1·d where an is the nth term in the sequence, a1…

Q: An arithmetic sequence has first term a and common difference d. It is given that the sum of the…

A: Given Information - The first term of the AP = a Common difference = d Sum of the first four terms…

Q: What is the sixteenth term of the arithmetic sequence 3, -1, -5, -9, .....? A. -55 B. -57 C. -59…

A: Formula for nth term in arithmetic sequence is given by- an=a+n-1d Where an is the nth term a is the…

Q: 6. The first four terms of an arithmetic sequence are 2, a-b, 2a+b+7, a-3b. Find a and b.

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Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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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 4th term and 15th term of an arithmetic sequence are 24 and 123 respectively. Find the 72nd…

A: Given problem Given that   The 4th term and 15th term of an arithmetic sequence are 24 and 123…

Q: Find the 10th and 20th terms of the geometric sequence with first term 3 and common ratio 2

A: Given: first term 3 and common ratio 2. To find: Find the 10th and 20th terms of the geometric…

Q: If the first term of an Arithmetic sequence is -6, and the common difference is - 1. Find the…

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Q: Write the first six terms of the geometric sequence with first term 6 and common ratio 1/3.

A: Given a geometric sequence with the first term a1 and the common ratio r , the nth (or general) term…

Q: Find the missing term in each of the arithmetic sequence.. 1. 5, 15, , 25 4.49, 42, 28 1 2. -1,-5, ,…

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