Express the number 220 as the sum of four numbers that form a geometric progression such that the third term is greater than the first by 44.

Q: If third and seven terms of geometric sequence is 45 and 100 respectively.then find its nineteenth…

A: Given data: The third term is a3=45. The seventh term is a7=100.

Q: Eighty loaves of bread are to be divided among 4 people so that the amounts they receive form an…

A: Given,          Eighty loaves of bread are to be divided among 4 people so that the amounts they…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

A:

Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio 1S What is the…

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Q: The sum of the first 11 terms is

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Q: List the first 5 terms of the sequence whose nth term is 3n - 2". Is it arithmetic progression or…

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Q: Find the first five terms of the arithmetic progression whose fourth and eleventh terms are 30 and…

A: Given the fourth and eleventh terms of an arithmetic progression is 30 and 107

Q: Find the sum of the first 11 terms in a geometric progression 1,–2, 4, –8, ... .

A: i have given the formu;a i have used in the solution   and all the functions are standard contineous…

Q: Write the first four terms of sequence whose general term is given.

A: Given: an=1n-1! To find the first four terms of the above sequence, Now plug n=0 in the given…

Q: The ratio of three numbers is 2:5:7. If 7 is subtracted from the second number, the resulting…

A: Explanation of the answer is as follows

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a, = 3 + 2n

A: Introduction :

Q: Find the sum of the first 100 terms of the sequence: 4, -2, -8, -14, . . . .

A: GIVEN SEQUENCE,                         4, -2,-8,-14.......         LET…

Q: Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the…

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Q: The sum of first six terms of arthematic progression is 42. The ratio of its 10th term to its 30th…

A: In the question it is asked to calculate the value of first and thirteenth term of AP.

Q: The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the…

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Q: Write the first four terms of sequence whose general term is given.

A: Given that the general term is an=-13n.

Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio is What is the…

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Q: The sum of two consecutive terms in the arithmetic sequence 1​, 4​, 7​, 10​, ... is 299​; find these…

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Q: The sum of the first 30 terms of the sequence -11, -5, 1, 7, … is 2280. True or False?

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Q: The sum of first six terms of an arithmetic progression is 42.The ratio of its 10th term to its 30th…

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Q: A job can be done in as many days as there are men in the group. If the number of men is reduced by…

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Q: Find the sum of the first 8 terms of the geometric progression: 2, 4, 8, 16,... -. What is the sum…

A: The geometric progression is a sequence that is formed by multiplying a constant term to the…

Q: Suppose that an employee earns $12000 in the first year on the job. Each year the employee receives…

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Q: The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find…

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Q: 10. a, = 6, ant1 an

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Q: Write the first five terms of a sequence in which the first term is 2 and each term is 6 more than…

A: We have to find first five terms of the sequence where first term is 2 and each term is 6 more than…

Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio What is the…

A: S∞=35r=25a=?

Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: Find the sum of the first 30 terms of the arithmetic sequence: 7, 3, -1, -5, . .

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Q: Find the sum of the first 11 terms in a geometric progression 1, -a, 4, 8, ... ...

A: Given query is to find the sum of first 11 terms of geometric progression.

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a. 3+2n

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Q: The sum of three consecutive terms of a geometric sequence is 104 and their product is 13824.find…

A: Let the three consecutive terms of a geometric sequence be a, ar, ar2.

Q: Find the sum of the first 12 terms of an arithmetic progression whose 7th term is 5/3 and with a…

A: General terms  of  an A.P. is  = a ,  a+d , a+2d , a+3d ,a+4d , a+5d , a+6d  and so on ...... Where…

Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

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Q: Find four numbers that form a geometric progression such that the second term is less than the first…

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Q: Find the first five terms of the Geometric progression whose first term is 2 terms is 54. Also find…

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Q: What is the sum of the first 50 terms in an arithmetic progression if the 3rd term is 10 and the…

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Q: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

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Q: Find the geometric progression if the 5th term is 12 and the 8th term is 324.what is the sum to…

A: Let the geometric progression is a, ar, ar2, ar3, ar4, ar5, .... Given the 5th term is 12 That is…

Q: Express the number 220 as the sum of four numbers that form a geometric progression such that the…

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Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

Q: Find the sum of the first 1000 positive integers.

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Q: Find the sum of first 24 terms of the list of numbers whose nth term is a = 3 + 2n

A:

Q: The sum of ages of 5 children born at the intervals of 3years each is 50 years. What is the age of…

A: Let the age of young child be 'x' Given that children born at the intervals of 3 years each So the…

Q: List the first four terms and the tenth term of sequence:

A: 2+0.1n Put n=1, we get 2+0.11=2+0.1=2.1 Put n=2, we get 2+0.12=2+0.01=2.01 Put n=3, we get…

Q: Find the sum of the first 50 terms of the sequence 12, -12, 12, -12, ...*

A: Solution...

Q: Find four numbers that form a geometric progression such that the third term is greater than the…

A: Solving by geometric progressions we have

Q: Find the sum of the first 8 terms of the sequence. Show all work for full credit. 1, -3, -7, -11,…

A: It is ap.  Use formula of sum of n term of ap.

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.