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

Q: Write the first five terms of the sequence with the given nth term.  an = 3n

A: Here the n th  term of a sequence is an=3n Therefore we have to substitute the values of n to get…

Q: If x + 1, 2x + 2 and 5x + 2 form a geometric sequence, find the value of the first term. O 4 O 2 O 5

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Q: Given a geometric sequence with a 3= 20 and a 8= 640, find a 1 and r

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Q: In an arithmetic sequence (a1, a2, a3, the first term is 5 and the 15th term is 61, then S15 is 555…

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Q: Given a geometric sequence with a2 = 3 and a5 = -81, find r and a9.

A: Explanation: a2=a1.r2-1           or   a5=a1.r5-1      3=a1.r1  ----1 -81=a1.r4   ----2Dividing…

Q: Find these terms of the sequence (a where an=2-3)"5"

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Q: Find a and az for the geometric sequence 6, a2, аз, —162,

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

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Q: Find the first four terms of the sequence in which a1 = 3 and an = 2an-1 + 5 for n≥ 2.

A: Given series and their first term are: an = 2an-1 + 5  and  a1 = 3   for n≥ 2 To find the second…

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: Given the arithmetic sequence an with aj = -7 and d = -9, find a3. ||

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Q: Write the first five terms of the geometric sequence. a n = 6a n-1; a 1 = 3

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

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Q: Find the 20th term of the sequence s, = (-1)"(n + 1).

A: Givensn=(-1)n(n+1)

Q: Find the indicated term for the arithmetic sequence with first term, a, and common difference, d.…

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Q: ind the formula for the nth term of the arithmetic sequence. 9,7,5, .

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Q: Find the second, third, and fourth terms of the geometric sequence with c1 250 and r =

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Q: Find the second, fifth, and eleventh terms of the sequence described by the rule. A(n) = - 3+ (n-…

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Q: Find the indicated term of the geometric sequence. 6, -4,.; ...; a7 3 a7 =

A: Consider the geometric sequence 6, −4, 8/3, ⋯

Q: Determine the first five terms of the arithmetic sequence {an} with a1 = 4, and d = 8.

A: Given: to find first five terms of the arithmetic sequence with a1 = 4, and d = 8.

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

A: To Find the 7thterm of the geometric sequence where a1 = -2 and r = -2.

Q: Find the 7th term of the geometric sequence with the given terms. a4 = -8 and a5 = -40 %3D %D

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Q: Given the arithmetic sequence an with a1=−7 and d=−9, find a3. Do not include "a3=" in your answer.…

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Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: Write the first five terms of the geometric sequence. a₁ = 2, r = n a1 a2 N 33 24 a5 = = = =

A: Solution of given question is written in below steps.

Q: Find the second, fourth, and eleventh terms of the sequence described by the rule A(n)=2+(n−1)(−2.5)

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Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Write the first six terms of the sequence whose nth term is  (−1)n/(2n + 1).   a1  =    a2  =…

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Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

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

A: SOLUTION-

Q: The sum of the first n terms of an arithmetic sequence is S, = bn – 2n². Find b if the tenth term is…

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Q: Find the sum of the first 50 terms of the arithmetic sequence. an -5n – 6 ||

A: The arithmetic sequence is given by an = -5n-6 To evaluate: The sum of the first 50 terms of the…

Q: Find the indicated term of the sequence: an = n(3n + 1); a15

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Q: Write the first five terms of the sequence with the given nth term. a, = (- a as I||||| 2.

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Q: Find a1 in a geometric sequence where Sn=3045, r=2/5, and an=120

A: topic- geometric sequence

Q: Given the arithmetic sequence an with a1 = -10 and d = -2, find ag. Provide your answer below: az =

A: Given a1= -10 , d= -2 and n=3

Q: Find the first term aj of the arithmetic sequence in which ag = 22 and a17 86. a1 =

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Q: find the sum of the first 60 terms of the arithmetic sequence given by: -5,-2,1,4,7   Formulas:…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Write an explicit formula for each sequence. Find the 12th term. , =a, +(n-1)d 2. 7, 14, 21, 28, 35,…

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Q: Write out the first three terms of the sequence given by a, =n² – 4n+2. ao a1= a2

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Q: Write the first five terms of the sequence with the given nth term                         an = 3n…

A: Given: an=3nn+4

Q: Find the explicit formula of an arithmetic sequence with the given pr d = 12, and a6 = 68 %3D %3D

A: Topic:- sequence and series

Q: Find a, and an for the arithmetic sequence. as = - 8, ag = 3 a4 %3D an II II

A: a4= -19

Q: Find a formula for a, for the arithmetic sequence. a = 102, d= - 6

A: the  formula for an is given by an=a1+n-1d where a1 is the first term and d is the common…