Given an arithmetic sequence with a14 = 148 and a35 = 316, find a1 and d

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

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Q: Find the common ratio of the geometric sequence 7, 63, 567, ...

A: use the formula for the common ratio of a geometric sequence.

Q: Given the terms t8=21 and t17=75 in an arithmetic sequence, determine the value of the first term.

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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: calculate the first four terms of the sequence, starting with n = 1. a1 = 2, an+1 = 2a2n− 3

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Q: Given the geometric sequence a, with the following information, find ag- lq =16 64

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Q: For an arithmetic sequence with given conditions, find a, and d to find s30: a, = 12 & a,, = 87.

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Q: In an arithmetic sequence , if a, = -11 and az = -26 , then the common difference d is -18 O 17 O 15…

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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: For an arithmetic sequence, a27 = 85. If the common difference is 5, find: a1 = the sum of the first…

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Q: Write the first five terms of the sequence with the given nth term. 4 a, = 5 + n2 a2 = a3 %3D a5

A: Here we have to find the first five terms of sequence.

Q: Given an arithmetic sequence with a 12= −21 and a 50 = −97, find a 1 and d

A: The given two terms of an arithmetic sequence is,

Q: Given a geometric sequence with a4 = 4 and a7 = 12, find r and a10.

A: a4=4  &  a7=12⇒a·r3=4   →1  &  a·r6=12   →2    ∵an=a·rn-1 Now dividing equation (2) by…

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

A: Given nth term is an=2nn+5 To find the first five terms of the sequence with the given nth term.…

Q: Find the 38th term of the arithmetic sequence with a = 6 and d = 12. 467 450 O 479 395

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Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

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Q: For an arithmetic sequence, a1 = 52. If the common difference is -1, find: a1 = the sum of the first…

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

A: Obtain the value of the sum as follows.

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

A: an=(-14)n The first five terms are from n=1,2,3,4,5Now we put the value of n=1,2,3,4,5

Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a8 = 47, a9 = 53

A: The general arithmetic sequence will be of the form a,a+d,a+2d+a+3d,....., where a is the initial…

Q: In an arithmetic sequence, as = 3, a10 = 58, find a1.

A: We have given In an arithmetic sequence, a5 = 3, a10 = 58

Q: For an arithmetic sequence, a11=54. If the common difference is 5, find:  a1= the sum of the first…

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Q: a12 for 96, 48, 24, ...

A: In General, we write a Geometric sequence ,                   a, ar, ar2, ar3....where , a is the…

Q: Find the number of terms in the finite arithmetic sequence: {- 2, 4, 10, 16, 22, ..., 466} n 3=

A: As per our guidelines we can answer only one question .please repost other seperately

Q: For the arithmetic sequence, find a19 and an when = 1 and a = - 11. %3D

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Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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

A: Topic = Sequence

Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

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Q: 6. a, for -2,2,6,10,...

A: Given sequnce is -2,2,6,10... Note thet first term =a1= -3 Common difference=d=2-(-2)=6-2=10-6=4

Q: For an arithmetic sequence, a5 = 21. If the common difference is 4, find: a1 = the sum of the first…

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Q: Given the geometric sequence a, with the following information, find a9. az = 3 A7 = = 96

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Q: Find a2 and. a3 for the geometric sequence. 8. a2, a3,

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Q: Given two terms in an arithmetic sequence, find the first term and the nth term 4) a, = 30 and a,…

A: Given that a11=30,a30=106. The above terms can be written as, a11=30a1+10d=30…

Q: Given an arithmetic sequence with a15 = 86 and a37 = 240, find the 104th term.

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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: For an arithmetic sequence with given conditions, find a, and d to find s35: a, = 12 & a,, = 87.

A: We have to find a ,d and Sn

Q: 3. a, for -3,3,9,...

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Q: For a given arithmetic sequence, the 82™ term, as, is equal to -539, and the 7" term, a-, is equal…

A: We have given the two terms of an arithmetic progression.

Q: Find the indicated term for the arithmetic sequence with the first term, a1, and common difference,…

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Q: Find the 23rd term of an arithmetic sequence with a1 = 15 and a57= 239.

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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: For an arithmetic sequence with given conditions, find a, and d to find s3, : 3. a, = 12 & a, = 87.

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Q: Given an arithmetic sequence with a12 = −76 and a51 = −193, find a1 and d.

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Q: In an arithmetic sequence, t11 = 72 and t21 = 142. What is the value of the first term and what is…

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Q: Find the common ratio of the geometric sequence: {- 8, 56, – 392, 2744, 19208, ...} r =

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Q: Given the geometric sequence a, with the following information, find a10 . Az 24 %D 256 %D 81

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Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, = n + 5 273…

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Q: Find the first five terms of the sequence, given the nth term. An = 3(4")

A: given

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.