Solve the following problems: 2. The sum of three numbers in an arithmetic sequence is 39. If these numbers are increased by 1, 5, and 12 respectively the new numbers will be in geometric sequence. Find the second term of the geometric sequence.

Q: n+1 Зп + (-2)" n=0

A:

Q: In an arithmetic sequence, the first term, a1, is equal to 9, and the third term, a3, is equal to…

A:

Q: 6) Match the sequence given to the correct formula. 2, -4, -10, -16 *

A:

Q: Find the indicated sum of the problem. 1. -54 + 18 - 6 +2 + ... , S9  2. Find the sum of the first…

A:

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: Use a system of two equations in two variables, a1 and d, to:Write a formula for the general term…

A: To Determine: Use a system of two equations in two variables, a1 and d, to:Write a formula for the…

Q: Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x – 6 respectively. Find…

A: Hi there, we can answer only one question at a time and you was not specify. so, I have answered…

Q: Suppose you save $1 the first day of a month,$2 the second day, $4 the third day, and so on. That…

A: Given- Suppose we save $1 the first day of a month,$2 the second day, $4 the third day, and so on.…

Q: 1. a, =1-(0.2)"

A: The first five terms are found in step -2.

Q: n an n+1

A:

Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

A:

Q: D. Solve the following problems. 1. In the arithmetic sequence 1, 5, 9, 13, ..., which term is 209?…

A:

Q: For a given arithmetic sequence, the  11th  term,  a11 , is equal to  −49 , and the  38th  term,…

A: Consider the following formula: an=a+n-1dhere,first term=adifference between two consecutive term=d…

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: Find the common ratio of the infinite geometric sequence whose sum is -11/13 and the first terms…

A: The detailed solution is given below Thank you

Q: Solve the following 1. Find the 5th term of an arithmetic sequence whose 3rd term is 35 and whose…

A: (1) We know that, nth term of an Arithmetic sequence is given by an=a+n-1d Where a and d are first…

Q: "If the second term of a geometric progression is 6 and the fourth term is 54, how many terms must…

A:

Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

Q: 1,0,

A: Given: The sequence is 0 , 1-e11+ e2 , 1- e21+ e3 , 1- e31+ e4  , 1- e41+ e5 , .  . .

Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

A:

Q: Suppose you save $1 the first day of a month, $4 the second day, $16 the third day, and so on. That…

A: Proceed as shown below...

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

A:

Q: For a given arithmetic sequence, the 39th term, a39, is equal to 265, and the 76th term, a76, is…

A: topic- arithmetic sequene

Q: What is the explicit formula for the sequence if at 8 am a hospital patient has 100 mg of a…

A:

Q: Find the twelfth terms of the sequence described by the explicit formula f(n) = 7 - 2( n-1) %3D…

A:

Q: find a formula for the nth term of the sequence. 1, -4, 9, -16, 25,c

A: It can be written as,

Q: Use a system of two equations in two variables, a1 and d, to:Write a formula for the general term…

A: an=a1+(n-1)d

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

A:

Q: For a given arithmetic sequence, the common difference,  d , is equal to  −4 , and the  3rd…

A: Given data set: Common difference = d = -4 Third term (a3) = 21   We need to calculate the value of…

Q: Given the first term and the common ratio of a geometric sequence, find the first five terms and…

A:

Q: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

A:

Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

A:

Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: 12._, -10,_ , 14

A:

Q: Write the first five terms of the sequence whose first term is 9 and whose general term is An-1 if…

A:

Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…

A:

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

A:

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

A:

Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

A:

Q: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

A:

Q: In GP, the sum of the first 5 terms is 121/81 and the common difference is 1/3, determine which of…

A: Given, The sum of the first 5 terms =12181 The common ratio =13

Q: If the numbers r, z+1, 2(z +3) are consecutive terms of a geometric sequence, what is the value of…

A:

Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: -1, _, -4, .

A:

Q: The product of the first term and the 6th term of an arithmetic sequence is -38. The sum of the 3rd…

A: Topic - arithmetic progression

Q: Find the sum of the first 50 terms in the sequence 2, 6, 10, 14. a. 5000 b. 198 с. 2500 d. 500

A: Given sequence is 2,6,10,14,... here the first term a= 2 common difference d=4 we have to find sum…

Q: If a=36 and r is greater than 1, will the terms in the sequence get bigger or smaller?

A: