A. Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5 and the 5th term is 24.

Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

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Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

Q: Find the missing term or terms in each geometric sequence. 1 -25, ... 25

A: To find the missing terms we have to find the common ratio of the geometric progression

Q: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

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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: what is the sum of the first 11 terms of geometric progression

A: The sum of the first 11 terms of geometric progression

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: The sums of nth term of three arithmetical progression are S,,S, and S,.The first term of each is…

A: We will solve the problem

Q: Find the sum of the first 28 terms in an arithmetic progression 1, 6, 11, 16,..

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Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term…

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=…

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

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Q: find the sum of the first 15th terms in the given progression of 1/2,1/4, 1/6……… (complete…

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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: (a) The first 3 terms of an arithmetic progression are ?, 5?, 7? − 4. Find (i) the value of ?,…

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Q: In an arithmetic progression, the sum of the first five terms is 30, and the third term is equalto…

A: We have given  Sum of the first five terns of an arithmetic progression = 30 S5 = 30 Sum of n terms…

Q: (a) The 1st term of an arithmetic progression is 17 and the 6th term is 62. Determine the 8th and…

A: We have to answer questions on Arithmetic progression.

Q: Let a, be a geometric progression, defined as a1 = 2(first term) and common ratio r = -2. Find the…

A: Find the sum of first 10 terms

Q: If 12 and 384 are the second and seventh term, respectively, of a geometric progression, find the…

A: Since, we have been given that the second and seventh term of a geometric progression are 12 and 384…

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: *1. Given that x-3, 2x + 1 and 7x - 2 are the first three consecutive terms of an arithmetic…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

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

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Q: Consider the following arithmetic progression 2, 7, 12, 17, 22, 27... Find the 20th term

A: The given Arithmetic Progression is 2, 7, 12, 17, 22, 27, ... Here, the first term is a=2. The…

Q: In an arithmetic progression of n terms (n is even), the two middle terms are p-q.p+q respectively.…

A: The formula for the sum of squares of an arithmetic progression is: sum=2n-1d26+ad(n-1)+a2×n where,…

Q: QUESTION 8 Identify the 25th term in the progression 7, 10, 13, … 25th    1. 25   2. 79     3.…

A: Term in the progression 7, 10, 13, …25 To find 25 th term

Q: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the…

A: The objective is to find  the difference of the progression.

Q: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

Q: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 What is the sum of the first…

A: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 General formula for nth term…

Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10…

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Q: find the 20 term in a geometric progression 1,2,4...

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

A: For the arithmetic progression: 5+9+13+…… n = 40 we have to find the sum of the first 40 terms, S40…

Q: 7. If the 3rd term of an arithmetic progression is 4 and the 9th term is -14, solve for the common…

A: Given: The 3rd term of an arithmetic progression is 4 and the 9th term is -14. Required: To find the…

Q: The 3rd term of an arithmetic progression is 4 and the 9th term is -14. Find the sum of the first…

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Q: The first term of an infinite geometric progression is 5 and the sum of its terms is 20. What is the…

A: Given that  First term of G.P is  a=5 The sum of infinite terms is  S=20 We have to find common…

Q: Find t for the arithmetic progression 19, 14, 9, .. t

A: Given : Arithmetic progression : 19,14,9,...

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

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Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

Q: 2. Find the first three terms of geometric Progression whose sum is 342 and product is 74,088 Let…

A: Solution : First three terms of GP are, ar,a,ar Sum of first three terms of GP=342 ar+a+ar=342  …(1)…

Q: An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is?

A: Formula,   S(n) = (n/2) * [2a + (n-1)*d]

Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find…

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Q: 1) Write down the 10th and 19th terms of the arithmetic Progressions 8, 11, 14, . ..

A: A sequence an Is said to be arithmetic if a2-a1=a3-a2=...=an-an-1=d (say) Then nth term of the…

Q: (b) The nth term of a geometric progression is given by T, Find the sum of first four terms.

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Q: Question 4 Find the number of terms in the following arithmetic progressions -104, -91, -78, ., 234

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Q: (a) The 1st term of a geometric progression is 4 and the 6th term is 128. Determine the 8th and 11th…

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Q: Question 4 The sum of first n-terms of an arithmetic progression is given by: Sn=n/2 [2a + (n-1)d]…

A: We have to find correct option.

Q: It is given the first three terms of a geometric progression are 1/5 , 1/25 and 1/125. Find the sum…

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Q: If 7, 9. 8 and 1, are added, respectively, to the four terms of a geometric progression; the…

A: Let the geometric progression is a, ar, ar2, ar3 Then add 7, 9, 8, 1 in the above terms…

Q: 2. There are 7 terms in a geometric progression such that the first term is 4 while the fourth term…

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Q: Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5 and…

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Q: The first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... Express k in terms…

A: Given that the first three terms of an arithmetic progression are h - 2, 5k - 1, 2h + k, ... . we…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.