1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next term in the sequence and what would be the next term afterwards. (a) 13 (b) 8 (c) 20 (d) 15

Q: Which term of the sequence 9, 9.4, 9.8... is 17?

A: Given that :-   The sequence                            9 , 9.4 , 9.8  _ _  _ _ To find :- which…

Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: 3. State the next two terms of this sequence: 1, 3, 6, 10, 15 ...

A: We have the sequence 1 , 3 , 6 , 10 , 15 , ....... We can see the difference between each…

Q: What is the 9th term of the sequence 6, 42, 294, 2058, ..?

A: First Term = 6 Second Term = 42 Third Term = 294 Fourth Term = 2058   Common Ratio = 42/6 = 7 The…

Q: 7. What is the 15th term of the sequence -8,-11,-14,-17, ...? a. -44 b. -47 c. -50 d. -53

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Q: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: What is the explicit formula for the sequence 5,7,9,11,13…5,7,9,11,13…? What do we know about this…

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Q: 14. Write a recursive formula for the sequence a) 3, -5, -13, -21,... b) 6.-2, 3, .

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Q: 3. Consider the sequence 1, 2,6, 24, 120, 720, 5040, ... (a) What are the next two terms in the…

A: A recursive formula is a formula that defines each term of a sequence using preceding term(s).…

Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: 2. F.IF.6 Write an equation for the nth term of the sequence 8, 32, 128, 512. an = 8(4)"-1 an =…

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Q: 6. What are the terms ao, a1, a2, and az of the sequence {an} where an equals а. (-2)" b. 3 c. 7+ 4"…

A: We have to find a0 , a1 , a2 , a3 of given sequences.

Q: This is the sequence: 1, 2, 4, 6, 16, 12, 64, 24, 36, . . . Develop an equation that can used to…

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Q: What is the twelfth term in the sequence an=3n-22

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Q: 6. Find the 25th term of the sequence -1, 3, 9, ... -

A: The formula for nth term of a GP is given as follows where a is the first term of GP r is the common…

Q: How many terms of the arithmetic sequence 3,5,7... must be added together to get 899?

A: If you like the solution then please give it a thumbs up... The Answer is:       Terms =  n = 499