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

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: Find the sum of the first 50 terms of the arithmetic sequence -5, -3, -1, 1, ..

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Find a formula for the nth term of the arithmetic sequence. 10 3 a₁ = 0, d = - ²/ 6

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

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Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

Q: Find the sum of the first 94 terms of the arithmetic sequence: -6, –1,4, 9, 14, ...

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Q: Find the 7th term of the geometric sequence -3, 9, –27, 81, –243,.. а. 729 с. -2,190 b. -2,187 d.…

A: We have to find 7th term of the geometric sequence -3,9,-27,81,-243,...

Q: Find the sum of the first 14 terms of the geometric sequence: -1/24, 1/12, -1/6, 1/3 , . . . .

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Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: Find the one-hundredth term of the arithmetic sequence {-2,1,4,7,10,..}

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Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

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Q: Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

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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: 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: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

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Q: Find the 70 term of the following arithmetic sequence. 5, 13, 21, 29,...

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Q: Find the 8th term of the geometric sequence 6, 18, 54, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

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

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

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 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: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Find the sum of the first 68 terms of the arithmetic sequence.

A: The given question is taken from the sequence and series and we have to find the value of  some of…

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: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

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 recursive formula for the following arithmetic sequence. -7, -10, –13, -16, ... O for n 2 2…

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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: Find the 8th term of the geometric sequence 2, –10, 50, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the missing terms for the arithmetic sequence . -1,. 1, . Blank 1: I Select] Blank 2: I Select]…

A: Given problem:- Find the missing terms for the arithmetic sequence. -1, __,___,__1

Q: Complete the explicit formula for the arithmetic sequence 5,14,23,32,41,50,.. An

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Q: Find the sum of the first 97 terms of the arithmetic sequence      9,3,-3,-9,-15

A: Given: The arithmetic sequence as 9,3,-3,-9,-15,... To find: The sum of first 97 terms of the given…

Q: Find the 13th term of the geometric sequence 7, 21,63, ...

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Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

Q: Find the missing terms of the arithmetic sequence: -8, ,20

A: Topic - arithmetic Sequence an =a+(n-1)d

Q: Determine the general form of the following arithmetic sequence: -5, -7, -9 ...

A: Here we find the general form of arithmetic sequence.

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-6, -4.5, -3, -1.5,…

A: Given: Arithmetic sequence. -6, -4.5, -3, -1.5

Q: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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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 ten terms of the arithmetic sequence in which the first 3 and the…

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 11. -7, -3, 1, ..

A: Sum of n-terms:            Sn= n22a+(n-1)d ; where a is the first term and d is the common…

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: Find the 19th term of an arithmetic sequence with a1 = −11 and a30 = 163.

A: Using a1 = −11 and a30 = 163 find common difference dUSe the term formula of AP.

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = -9, a10 = 15, n…

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

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: Write the first six terms of the arithmetic sequence .

A: a1=5/2, d=-1/2

Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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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.