Find k so that the terms k – 3, k + 1 and 4k 2 form a geometric sequence

Q: A sequence is defined recursively by an +1 = 3a, - n, a1 = 2. Find the first six terms of the…

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Q: Find x so that 4x, 5x - 3, and 7x - 1 are consecutive terms of an arithmetic sequence.

A: For the arithmetic sequence difference between terms should be same Hence  (5x - 3) - 4x = (7x - 1)…

Q: Find the first 10 terms of the sequence a,n = 2n + 3. its 9th term is its 10th term is

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Q: Find the specified nth term of each geometric sequence. a4 = 10, r = 2, n = 9 32 160 320 O 2560

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Q: Find k so that the terms k - 3, k + 1 and 4k - 2 form a geometric sequence. O 1/3 or 5 O - 1/3 or -…

A: We need to find the value of k such that the sequence is in geometric progression.

Q: Find p so that the numbers 7p + 2, 5p + 12, 2p – 1, ... form an arithmetic sequence.

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Q: Find a formula for the nth term of the sequence. 2) 0, 2, 0, 2, 0 (alternating 0's and 2's) A) an =…

A: Option C is correct.  Checking options we get that for nth term series in option C is correct.  Put…

Q: Find p so that the numbers 7p+2, 5p+12, 2p-1, . . . form an arithmetic sequence. Show your solution

A: Topic - arithmetic sequence

Q: Find ag and a, for the arithmetic sequence. a,=x, a, = x+3

A: a1=x , a2=x+3 Formula an=a1+(n-1)dd is the common difference

Q: Find az and a, for the arithmetic sequence. a =X, a2 = X+ 3 ay =L

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Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

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Q: Find the 7th term of the geometric sequence where a1 = -2 and r = -2.     -128     4096…

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Q: find the values of k so that the numbers 2k+1, 3k+4 and 7k+ 6 form a geometric sequence

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Q: c) find the sum of the first 201 terms of this sequence.

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Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: Find the value of x so that 65 - x, 2x - 17, x +1 form an arithmetic sequence. 100 40 O 25 O 33

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Q: Given the geometric sequence: 32 a2 11 256 ao = 4, a1 121 find a formula for the n-th term: An

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Q: Find the first 4 terms, the 10th term, and the 15th term of the sequence given below. =n² - 6n

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Q: Find the first six terms of the piecewise sequence: S(- 2)" n – 7 if n is even - An 3n – 1 if n is…

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Q: Find the 12th term of the given arithmetic sequence. a1 = 95, d = –7, n = 12

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Q: find the indicated term of the sequence. an=(6n/3n2-5)   a19=

A: Given,an = 6n3n2-5a19 = ?for finding a19 substitute n = 19 and find the value

Q: Find the sum of the sequence. I (k° +4) k=1

A: Given sequence is

Q: Find A and B so that (a + b), (3a - 2) and (3a + 4b) are terms of arithmetic sequence.

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Q: 3. Find a formula for nth term of the sequence 1, 1 1 4' 16' 25

A: Simplification

Q: Find all possible values of r for a geometric sequence with the two given terms.a3 = 4, a7 = 1/4

A: To find: The value of common ratio of geometric sequence  r. Given; The 3th term is 4 and 7th term…

Q: Find the 8th term of the sequence 00 8 + n n=1

A: SOLUTION-

Q: Find the 8th term, ag, for the sequence. an = - 9n +6 %3D

A: Given :an=-9n+6

Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

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Q: Find the first four terms in the sequence. 2" 3) а a 2n + 1

A: solution.

Q: Find the specified nth term of each geometric sequence. a4 = 10, r = 2, n = 9

A: SOLUTION-

Q: $$a_{n}%3Da_{1}+(n-1)d$$ is used to find the term of arithmetic sequence second general term O both…

A: If, the difference between two consecutive terms is constant in a sequence, then that sequence is…

Q: Find a n for the geometric sequence a 1 =-4; r = - 2, n = 10

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Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

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Q: Find the term a4 for the sequence defined below:           a1 = -2                   an = 5an-1…

A: Given The given expressions are an=5an-1+10 and a1=-2.

Q: Find the first six terms of the piecewise sequence: S(- 2)" – 3 An | 3n -1 - 4 if n is even %3D if n…

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Q: 2n Write down the first five terms of the sequence an %3D n+7

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Q: 3.) Find k given that 2k, k – 1,3k + 1 are consecutive terms of an arithmetic sequence.

A: As we know that in an arithmetic sequence the difference between one term and the next term is a…

Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: Given a1=120 and d=4

Q: Write the first four terms of the sequence defined by the formula. k for every integer k 2 1. ak= 1.…

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Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

Q: Find t 10 in the arithmetic sequence 11, 7, 3, .

A: Explanation and solution is given below....

Q: find x so that the numbers 4x-1,2x+2, and 2x-3 form an arithmetic sequence.

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Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

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Q: The first three terms of a geometric sequence are k - 1, 6, and 3k. a.) Find the possible values of…

A: The first three terms of a geometric sequence are k - 1, 6, and 3k. a.) Find the possible values of…

Q: Write a recursive formula for each sequence. 12, 7, 2, -3, ... 10, 30, 90, 270, ... a, = 0 %3D I for…

A: Given series :                       12 , 7 , 2 , -3 , ... Find a difference between consecutive…

Q: 9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic…

A: As per the instruction, we will be answering only the first question. We need to find all the value…

Q: Find all possible values of x that make the sequence x-1,2x,5x+3 a geometric sequence

A: To find values of x for which given sequence will be a geometric sequence x-1,  2x,  5x+3

Q: Find all the terms of the finite sequence. 6) an = n²-n for 1≤n=5

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