(d) State whether the following sequences are arithmetic, geometric or not any of them. Find the common ratio if it is a geometric sequence and find the common difference d if it is an arithmetic sequence. Then, find the next two terms. i. -3, 3, -3, 3 ii. b, = n2 + 3 ii. 글, 긍, 긍 (e) Consider the geometric sequence (b,) with by = and q = 3. Is 243 a term of this sequence? (f) The nineteenth term of a sequence is -52, and the fourth term is -7. The difference between consecutive terms in the sequence is constant. Find the 201 term.

Q: Write the first six terms of the arithmetic sequence with the given first term, a,, and common…

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Q: The second and fifth terms in an arithmetic sequence are 12 and 18 respectively. What is the 100th…

A: Use  an=a1+n-1d  to solve the problem.

Q: Find the missing values. Assume the parentheses separated terms in the corresponding arithmetic…

A: Given: Terms are in arithmetic sequence  we know that difference between any two consecutive terms…

Q: Find the sum of the arithmetic sequence: {4, 8, 12, …, 204}.

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Q: A small business owner budgets $2,200 to purchase candles. The owner must purchase a minimum of 200…

A: Step 1: Step 2: Step 3: Step 4:

Q: What is the 7th term of the geometric sequence where a₁ = -4,096 and a = 64?

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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: Find the missing variable in the geometric sequence and write the first few terms of the sequence

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Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

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Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

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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.