How to find the nth term?

Q: Fin the 9th term in the harmonic sequence 1/11, 1/15, 1/19, 1/23, ..? What is the nth term of the…

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Q: Certain bacteria cells are being observed in an experiment. The population triples in 1 hour.  If at…

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Q: What is a formula to calculate the sum of the first n positive integers? Could you explain why this…

A: Obtain the sum of first n positive integers as follows.The general formula to calculate the sum of…

Q: The first term is 3500, and the common difference is 15. Which term of the sequence is 2795?

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Q: Find the sum of the first 12 terms of the geometricsequence with first term 48 and common ratio1/2.

A: The geometric sequence is the sequence which is of the form a,ar,ar2,ar3,......  , where a is the…

Q: Find the sum of the first 15 terms of the arithmeticsequence with first term -4 and common…

A: Consider the given information as a=-4 and d=2

Q: the 9-th terr

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Q: Find the nth term of 1/2, 1/6, 1/12

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Q: press the repeating decimal 0.173 as a fractio

A: Given: 0.173 To find the fraction of the given expression

Q: Express the repeating decimal, 0.529529529... as a fraction in lowest terms.

A: It is required to express the repeating decimal as a fraction in lowest form.The given repeating…

Q: Show all formula, substitution and calculations. Round off to 2 decimals. In how many ways can…

A: The collection of items or elements arranged in a different way with ordering is called Permutations…

Q: If 6th  term of GP is 9375 and its 4th term is 375.Find its 9th term

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Q: nts in different ways.

A: We can select 6 different restaurant from 8 is =28 ways

Q: Find the formula for the nth term. 6, 11, 18, 27, 38, 51, ..

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Q: The eight term of an AP is half uts second term and the eleventh term exceeds one third of its…

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Q: The fraction can be represented by the repeating decimal 0. 142857. What is the 41st digit after the…

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Q: determine a reduced fraction that has this repeating decimal. 0.313131 . . .

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Q: Find the sum of the series 12+17+22+..+777

A: We have to find the sum of the series 12+17+22+....+777. First term=a=12 In the arithmetic…

Q: ic sequence:

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Q: 4.

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Q: Find the sum of the first 35 terms of the series 6 + 11 + 16 + 21 + ….

A: I have provided a solution in step2.

Q: if the 8th term in an arithmatic series is 39 and the 20th term -33 what is the common difference

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Q: Write the first five terms of the sequence with the given nth term

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Q: The fourteenth term is 2 /3 , and the ninth term is 1 /4 . Find the  first term and the nth term.

A: Given, a14=23a9=14 We know that, an=a+n-1d, where an is the nth term, a is the first term and d is a…

Q: Whose nth term is the nth prime number find the first five terms.

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Q: 10 •(x - )" Calculate the fourth term of

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Find the sum of the first 7 terms of the arithmeticsequence 1, 3, 5, .....

A: The set of numbers can be arranged with some pattern among them. Some sequence of numbers are named…

Q: Suppose that a single cell of bacteria divides every 20 min for 4 hr. Write a formula for the…

A: A single cell of bacteria divides every 20 minSo after 20 minutes there will be 2 cells. After…

Q: 15) Determine the number of boxes in the nth term of the image below:

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Q: Write the first five terms of the sequence with the given nth term. = sin 2 %3D 4. 5.

A: To write the first five terms of the sequence with the given nth term.an=sinnπ2

Q: 1. Below are squares formed by matchsticks. 2. Count the number of matchsticks in each figure and…

A: 2. Number of Squares 1 2 3 4 5 6 7 8 9 10 Number of matchsticks 4 7 10 13 16 19 22 25 28 31

Q: How many terms are needed to make sure that the sum is accurate to within 0.00005?

A: Given: ∑n=1∞ 1(2n+1)2 To find: How many terms are needed to make sure that sum is accurate to within…

Q: The first term is 1/2 and the second term is -1 /2 . Find the sixth term.

A: Given, a1=12, a2=-12 Here, d=-1 therefore the nth term is, an=a+n-1d

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT How many positive integers n ≤ 1000 are coprime with N=90

A: We know that 90=2×32×5 Numbers less than 1000 which are divisible by 2 =10002=500 Numbers less than…

Q: 1, 5, 11, 19, 29, … What is the nth term formula?  What is the number in 15th term? Use the nth…

A: Given:           Series 1,5,11,19,29,...      So,  0+0+12=1              1+1+12=1+22=5…

Q: Express the given in fractional notation.

A: The given rational number is 0.73 Here the bar on the number 73 represents that, the number 73 is…

Q: determine a reduced fraction that has this repeating decimal. 0.222 . . .

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Q: The fourth term is 12 and the seventh term is 32 Find the first and nth terms..

A: Find first and nth term

Q: A tire is rotating 720 times per min. Through how many degrees does a point on the edge of the tire…

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Q: Which one will help prove the 7th step ?

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Q: 1) The third term is - 18 and the sixth term is 9216. Find the first and nth terms.

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Q: The mathematical sentence for the nth term of number 4 is

A: Here the given number is 4. Since each term is constant and equal to 4. Therefore, the nth term of…

Q: The first term of the AP is p and the common difference is q then find its 10th term

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Q: Find the 13th term of the sequence 4096, -1024, 256, -64, ..

A: Geometric sequence: A set where each element is a multiple of the previous element; a finite or an…

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 nth term of 1/5, 1/10, 1/15, ... , n = 10

A: In this question we have to find the nth term where n is 10.

Q: Determine the nth term formula for the number of gray square tiles in the figure

A: Here ,  a1 = 4  a2 = 9 a3 = 14 a4 = 19 a5 = 24 The common difference = 5

Q: find the rational number represented by the repeating decimal. 0.451141414

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