Find the sum of first 20 terms of an AP in which 3rd term is 7 and 7th term two more than thrice of its 3rd term

Q: Express in partial fraction x³ - x² - 4 divided by x² - 1

A: We can make it easier for you.

Q: Find the sum of the first 80 positive even integers.

A: 2, 4, 6, 8, 10,....... This is an arithmetic sequence with  a1=first term=2d=common difference=4-2=2…

Q: If five times the fifth term of an AP is equal to 8 times its eighth term, show that its 13th term…

A:

Q: The sum of the first 11 terms is

A:

Q: If the 10 term of an AP is 21 and the sum of its first ten terms is 120 find its n term

A:

Q: -, 1-, 3, 6, 12, 24 ...; find the 10th term and the sum of the first 10 terms.

A: The solution is given as

Q: Find the sum of the first 6 terms of the geometricsequence 9, 3, 1, .....

A: The geometric sequence is of the form a,ar,ar2,ar3,...,arn. This shows that r as a common ratio…

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 10 terms of the geometricsequence 5, 10, 20, ....

A: The given geometric sequence is, 5,10,20…… The first term of the geometric sequence is 5, The common…

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: Find the sum of 150 terms if the series is 6,(9/2), 3,....

A: Determine the common difference of the series. d=92-6=-1.5 Determine the sum of the series using the…

Q: . Bricks are stacked in 20 rows such that each row has a fixed number of bricks more than the row…

A:

Q: Find the Sum to infinity of the sea tès - Ce30 t ces 20 - 1-3 1-3.5 ces 30 + - (-nCBCIT). 2.4 2.4-6

A:

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

A: Let the number be- a,ar,ar^2,ar^3 given a+ar+ar^2+ar^3=220 a(1+r)+ar^2(1+r)=220 (1+r)a(1+r^2)=220…

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

A: Introduction :

Q: The 24th term of an AP is twice its 10th term .Show that its 72th term is 4 times its 15th term

A:

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

A:

Q: A king in ancient times agreed to reward the inventor of chess with one grain of wheat on the first…

A: According to the given information, the king is rewarding the inventor of chess with grains of wheat…

Q: Find the sum of the first 100 terms

A: We are asked to find the sum of 100 terms.

Q: A and B can do a piece of work in 3 days, B and C in 4 days, while A and C in 2.5 days. In how many…

A:

Q: Find four consecutive odd internet’s such that four times the sun of the first and third is four…

A: To find four consecutive odd integers such that four times the sum of the first and third is four…

Q: A ball is thrown upward so that it reaches a height of 9 feet and then falls to the ground. When it…

A: Answer and explanation is given below...

Q: Find the sum of the first 15 terms of the geometricsequence 100, 50, 25, .....

A: The geometric sequence is given by a,ar,ar2,...,arn, here a is the first term of sequence and r is…

Q: A company has been selling 600 items every month at $ 720 each. However, for each $ 40 rebate…

A: The given data is: A company has been selling 600 items every month at $720 If a rebate of $40 is…

Q: Find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5.

A: We have to find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5…

Q: Find the sum of the first 330 positive odd integers.

A:

Q: The 11th term of an AP exceeds than 10th term by 7 find the common difference

A:

Q: Find the sum of the first 10 terms of the arithmeticsequence with first term 50 and common…

A: Given, First term of Arithmetic progression (AP) is a=50 common difference , d=3 Number of terms,…

Q: A ball dropped from a height of 15 feet begins to bounce. Each time it strikes the ground, it…

A: Geometric progression

Q: + 1+.. ... + +

A:

Q: Find the sum of the even integers between 35 and 49. The sum is ...

A:

Q: 3,-18,108,-648,

A:

Q: Find the sum of the first 20 positive even integers.

A:

Q: 10, 15, 20, 25,30,35

A:

Q: Find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.

A: To find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.…

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

A:

Q: The 24th term of an AP is twice its 10th term .Show that its 72th term is 4 times its 15th term

A:

Q: Five years ago, Al is 6 years younger than Je who is at that time 2 years more than twice as old as…

A: Let the age of Al before 5 years be a   Let the age before 5 years of Je be,  bThen, b=a+6or,…

Q: Find the sum of the first 10 terms of the geometricsequence with first term 5 and common ratio -2.

A:

Q: Find the sum of the infinite geometric series if it exists.

A: To find: The sum of given infinite geometric series. Given information: The series is 1-12+14-18+⋯…

Q: Find the sum of the first 10 terms. 0.5,0.9,1.3,1.7,.

A:

Q: Find the sum of all two digit odd multiples of 3.

A:

Q: Suppose you have 1000 blocks, each of which is 1.0 cm on a side. If all 1000 of these blocks are…

A: First consider the case of 1000 blocks stacked to give a cube 10 cm on a side. The block which have…

Q: Find the sum of first 30terms of an ap whose second term is 2 and seventh term is 22

A:

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

A:

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

A:

Q: Find the first six terms and the sixth partial sum of the sequence whose nth term is an = 2n2 - n.

A: Substitute 1 for n in the equation an=2n2-nto determine the first term. a1=2(1)2-1=2-1=1

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.