For the geometric sequence 1, b, b², b³, ..., which of the following is the sum of the first six terms, S,? O b6+b5+b4+b3+b2+b+1 O 1+b+b²+b³+b5 O b5+b4+b3+b²+b+1 1+b+b²+b³+... 1+b+b²+b3+b6

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: 9. Find a formula for the general term an of the sequence: {1,0,1,0,1,0,1,0,...}

A: Given sequence is  { 1,0,-1,0,1,0,-1,0,....} Now we give formula of this sequence

Q: Use the graph below to determine a, and d for the sequence. {(1, 17), (2, 14), (3, 11), (4, 8),…

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Q: For the sequence an = an –1 + an – 2 and a1 = 2, a2 = 3, its first term is its second term is its…

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Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…

A: Given sequence is: 13,19,127,181, ...

Q: For the sequence an=an−1+an−2an=an−1+an−2 and a1=3,a2=4a1=3,a2=4, its first term is its second…

A: an = an-1 + an-2,     a1=3,  a2=4 We will use this equation repeatedly with different values of n

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: Consider the geometric sequence 1, b, b², b³, .... Which of the following expressions represents the…

A: The G.P. with terms like a, ar, ar2, ar3,... have first terms a1=a and common ratio r. Its nth term…

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: For the sequence an = An –1+ an and a1 = 2, a2 = 3, - 2 its first term is its second term is its…

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Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: Find the 10th term of the geometric sequence in which a1=1 and r = 2.5.   A. a10=22.5 B. a10=2.5…

A: Given First term of geometric progression = a1 = 1  Common ratio of geometric progression = r = 2.5…

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: For the sequence an = an– 1+ an–2 and a1 = 5, a2 = - 5, а2 = 6, its first term is its second term is…

A: Given an=an-1+an-2 a1=5,a2=6

Q: Which of the geometric sequences below have a first term of 3 and a common ratio of-2? O 3, 6, 12,…

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Q: and For each geometric sequence given, write the next three terms ag, agı (а) 3, 6, 12, ... a4 = as…

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Q: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is 1 its second term is 2 its…

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Q: Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a = -4, d =…

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Q: Find the So. for each of the following sequences. 16 32 i) 20, 8, ****** 5' 25' 3-3 " 4 16 ii) 12,…

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Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

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Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: For the sequence an = an –1 + an – 2 and a1 = 3, a2 = 4, - its first term is its second term is its…

A: Given sequence is an=an-1+an-2 and a1=3 , a2=4

Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

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Q: In an Arithmetic Sequencea1, a2,.an, the first term is 7 and the 11 term is 57, then S is

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a,-1 + 10 for n>2 %3D un List the first…

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Q: For the sequence an = 2(an – 1– 2) and a1 = 3, its first term is its second term is its third term…

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Q: For the sequence an = an –1 + an –2 and a1 = 3, a2 = 4, : 4, its first term is its second term is…

A: Given sequence is an=an-1+an-2   and a1=3, a2=4. Here,   a1 is the first term of the sequence a2 is…

Q: Suppose that a sequence is defined as follows. dy a1=-4, an = 3an-1+4 or n> 2 List the first four…

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Q: For the sequence an = an – 1+ an – 2 and 1, a2 = 2, ai its first term is| 1 its second term is 2 its…

A: The given sequence is a recursively defined sequence. So, one can obtain the terms of the sequence…

Q: 6. Write an nth term (general term) of the geometric sequence that has the given two terms: a. t, =…

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Q: Find the recursive formula of the following sequence. (4, 7, 15, 24, . ... a1 = 4, a, = an-1+ 3(n +…

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Q: For the sequence an = an –1 + An – 2 and a1 3, a2 = 4, | its first term is its second term is its…

A: Given, a1 = 3 a2 = 4 an = an-1 + an-2

Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: Write an explicit formula for the sequence using the first five points shown on the graph. an an 12…

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Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

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Q: Given the arithmetic sequence of 4, 2, 0, -2, . .fund an explicit rule for the nth term. O an = an 1…

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Q: Find the explicit formula for each of following sequence: a) -31, -14, 3, 20, 37, 54, ... b) 1/5,…

A: Definition of Explicit formula:      An explicit formula directly calculates the term in the…

Q: For the sequence an = An –1 + an – 2 and a1 1, a2 = 2, its first term is its second term is its…

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Q: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is its second term is its third…

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Q: What are the first five terms in the recursive sequence defined by the following? a1=0 an=an−1−1.4…

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Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: 7. Find the first five terms of the sequence defined by each of these recurre a) an = 6an-1, a0 = 2…

A: Introduction: A recurrence relation is a formula that describes a series based on a rule that…

Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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

A: n=1 , 3 , 5 are odd, so we use the second piece