Q9) Find the rule for the nth term (term an )of the following sequence: a) 2, 6, 18, 54, ... b) 1,-1, 1, -1,.. с) 12, 6, 0, -6, -12, ... d) 15, 8, 1, -6, -13, -20,.

Q: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: 14. 1,3,9, Type of Sequence: General Form:

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Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: What is the common difference of the arithmetic sequence 5,8, 11, 14? 1) 2) -3 3) 3 4) 9

A: Given arithmetic sequence is 5,8,11,14 find the common difference of arithmetic sequence  d=an-an-1…

Q: 7) Given the sequence 1, 2, 4, 8, 16, 32..., find the 10 term and the sum of the first terms.

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Q: O Write the first five terms of each sequence. a) a, 2"-1,n21, b) b, = b +b 2,b, =1,b, 2, n23.

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Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: Write an algebraic expression for the nth term of each sequence. Then use your expression to…

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Q: 2a. Find a formula for the nth term of the arithmetic sequence below. 1,_,4, , 7, ...

A: Solve by formula

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: 10) 8, -10, ... А) 3, —1, -5, -9, -13 В) 5, 2, —1, -4, -7 С) 4, 0, —4, -8, -12 D) -1, -5, -9, -13,…

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

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: help please

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Q: Find the missing values of the arithmetic sequence A) s-r , 2r+2s , 5r+3s ,6 , ….. B) 6, a-b , 2a+b…

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Q: 7.. Given the values of a and d, write the first three terms of the arithmetic sequence. Then, write…

A: We want to find general term.

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

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Q: Compute the missing terms in the arithmetic sequence. -38, 562, ...

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Q: Find the 16th term of each sequence below: {0, 1, 1, 2,...} 4 8 16 32 5 15' 45' 135' 1/5,...}

A: To find the 16th term of given sequence. We will use A.P and G.P sequence nth term for finding 16th…