a.Write an expression for the nth term of the arithmetic sequence {an} with a1= −19, and d = 5. b. Find a36

Q: Find the formula for the nth term for the arithmetic sequence where a₁ = 33 and d= -16

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: For a given arithmetic sequence, the first term, a₁, is equal to -23, and the 6th term, a6, is equal…

A: The given arithmetic sequence are: The first term a1=-23, and the 6th term is a6=-63. Find the value…

Q: Find the indicated term a60 when a1 = 8, d = 6, of the arithmetic sequence with first term, a1, and…

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Q: Find the nth term of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

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

A: a1=13  &  d=4

Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−12.

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

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Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

Q: Write the first six terms of the arithmetic sequence in which a1 = 6 and an = an-1 - 2.

A: Given: a1=6an=an-1-2

Q: Find the number of terms in the arithmetic sequence with the given conditions.

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Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

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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: Find the 78th term of an arithmetic sequence with a 1 = 64 and d= −11.

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Q: Write the first six terms of the arithmetic sequence with the given first term, a1 and common…

A: Solve the following

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: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−1/2.

A: General term of GP

Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: For an arithmetic sequence, a2 13. If the common difference is 8, find: || the sum of the first 37…

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Q: Find the indicated term a14 of the arithmetic sequence with first term, a1=14, and common…

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Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: Write the first six terms of the arithmetic sequence: a1 = 5/2, d = -1/2

A: Solution -  The general form of an arithmetic expression is -  a, a+d, a+2d, a+3d,…

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

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Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

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

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: The first term of the arithmetic sequence is given as -296 The common difference of the arithmetic…

Q: Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1).

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Q: Find a formula for the general term an of the arithmetic sequence (starting with a1)…

A: a1=7a2=10d=a2-a1=10-7=3

Q: Write the first six terms of the arithmetic sequence: a1 = 7, d = 4

A: Given : a1=7d=4

Q: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

Q: Find the 500th term of an arithmetic sequence with a1 = 6.9 and d = 0.3.

A: Given,a1 = 6.9 and d = 0.3The formula for nth term is,an = a1 + (n – 1) d …(1)

Q: Find the indicated term a12 of the arithmetic sequence with first term, a1=-8, and common…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

Q: Write the first six terms of the arithmetic sequence: a1 = 3/4, d = -1/4

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Q: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: Find the indicated term of the arithmetic sequence a1= 3, d=-5, a6=?

A: Given: a1=3 and d=-5 in the arithmetic sequence.

Q: Find the indicated term of the arithmetic sequence a1 = 5, d= 3, a4= ?

A: Given First term a1=5Common difference d=3

Q: Find the sum of the terms of an arithmetic sequence: 3+ 15+ 27+ 39... +615

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Q: Write the first five terms of the arithmetic sequence defined recu = 2.5, a 0+1=3 +0.75 (0 82 N 33…

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Q: Find the first term and common ratio of the Geometric sequence with a3=54 and a=162

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

A: Given, First-term,a1=35 Common difference,d=-3

Q: . Find the nth term of the geometric sequence in which: 7. a, = 800, r = 1, n = 7 a, = 60, r = 1/2,…

A: Using nth term formula of geometric sequence.

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 40, d = -3, n =…

A: Formula to find the sum of arithmetic series helps to find the required sum. Formula to find the…

Q: S20 of the first 20 terms of the arithmetic sequence given by an = 5– 2n.

A: This question can be solve by airthmatic sum formula.

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

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Q: Which explicit formula describes the geometric sequence {,,7 }? ) an= + (n-1)(좋) (중)까-1 n-1 an =…

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

A: We know that the nth term an of an arithmetic sequence with with first term, a1, and common…

Q: Write the first six terms of the arithmetic sequence: a1 = 3/2, d = -1/2

A: Given: a1=32, d=-12

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.