For the arithmetic progression: 5+9+13+……   . Find the sum of the first 40 terms.

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: Write an explicit formula for the nth term of the arithmetic sequence where the fourth term is 28…

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Q: Find the 81st term of the arithmetic sequence 24, 11, -2, ...

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Q: Given the 10th term of arithmetic sequence is 29 and the 18th term is 85, find the expression for…

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Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

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Q: Write a formula for the nth term of the geometric sequence. -40,20,-10,5,.........

A: Find the ratio of the series by dividing 2nd term by first term.

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

A: Let's find.

Q: State the sixth term of the following geometric progressions 288, 144, 72, .

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Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: If the fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th term.

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Q: Find the indicated term of the geometric sequence -2, 6, -18, ...; a7 a7 =

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Q: The 7th term of an arithmetic sequence is -37, and the 10th term is -121. Find a,d and the general…

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Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.…

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

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Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: Find the 8th term of the geometric sequence 7, -21, 63, …

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Q: Find the nth term of the arithmetic sequence with the first term −2, common difference 3, and n =…

A: Given: The first term =-2 Common difference =3 n=10 To determine: nth term of the sequence.

Q: For a given arithmetic sequence, the 80th term, ago, is equal to 314, and the 4th term, a4, is equal…

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Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: What is the nth term in the arithmetic progression 1,4,7, 10....

A: Consider the given series as 1,4,7,10...

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

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Q: What is the explicit formula for a geometric sequence?

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Q: Find the sum of the first 3 terms in the geometric sequence with this first term and common ratio: a…

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Q: For the geometric sequence 1, b, b2, b3, ... , simplify bS6−S6=

A: given1, b, b2, b3, ...first term a=1common ratio r=second termfirst termr=b1r=bsum of n terms of…

Q: Find the next three terms in the Geometric Sequence. 1 1 -9,3,-1, 6. 1/27, 1/81, 1/243…

A: I am attaching image so that you understand each and every step.

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: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

A: Given: The first term of the geometric sequence is a=110and the common ratio is r=4. To find: · a1·…

Q: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r. a1…

A: We have to solve given problem:

Q: find the first five terms of the geometric sequence.

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Q: . Find the next 3 terms of the arithmetic sequence 2, 5,8, ......

A: To find the next 3 terms of the sequence: 2,5,8... Solution: Given sequence is: 2,5,8... Here we…

Q: Write a formula for the nth term of the geometric sequence. 5)1,000, 200, 40, 8, ...

A: Given sequence is 1000, 200, 40, 8, …First find the value of r.

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: For the geometric sequence 3, 12, 48, 192, ., .... find the indicated term. 14th term:

A: From the given geometric sequence:   3,12,48,192,....   As we know that the expression for nth term…

Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: Find the 9th term of the geometric sequence. 2, -6, 18, -54, ...

A: As per guidelines we can solve only one question at a time, So if you need more answers kindly…

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 sum of the first 50 terms of the arithmetic sequence below. - 19, - 15, - 11, -7, .. The…

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Q: If the fourth term of a geometric progression is -4 and the fifth term is 8​, find a1 and r.

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Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: Find the missing term of the geometric sequence. 1 ,16 4,

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Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: For a given arithmetic sequence, the 40 term, a0 is equal to -324, and the 72 term, a, is equal to…

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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: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: Determine the general form for the arithmetic sequence whose 5th term is 10 and consecutive terms…

A: the fifth term is 10  the common difference d=-4 the general term of the Arithmetic series is given…

Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: Find the 57th term of an arithmetic progression when the 1st term is -18 and the common difference…

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Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum…

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

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.