Find the sum of all integers from 41 to 83. The sum of all integers from 41 to 83 is

Q: If the sum exists, enter the exact answer. If it does not exist, enter NA. 6+6⋅2+6⋅22+⋯+6⋅212=

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Q: Determine whether it is possible to express 1 as a liner combination of 1 = m· 44 + n· 91 ,. for…

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Q: 11: Find the sum of the first 22 terms of the AP : 8, 3, -2, . .

A: Sum of first n terms of a Arithmetic Progression with first term a and common difference d is  Sn =…

Q: The fifth term in the sum 10 Σε k 3 k=3 is 83 53 63 73

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Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

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Q: Evaluate the sums

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Q: In each case, find the first 5 terms of the sum and compute S 31-1 00000 The sum is The first 5…

A: Given data is : ∑i=1n3i-1 Let an=3i-1  where i=1,2, 3,4 ......n Substitute i=1 so first term…

Q: Evaluate the sums

A: Given:

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

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Q: In each case, find the first 5 terms of the sum and compute S, 3. The sum 1S 2 The first 5 terms are…

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Q: Use the rules for sums of powers of integers to compute the sum. 19 Σ 4.² k=6

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Q: Find the smallest positive integer N that satisfies all of the following conditions: • N is a…

A: We have to find the smallest positive. N'that satisfies all of the following conditions: N is a…

Q: Find the product of all positive integers from n down through 1 for n = 5.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the value of the number in the 75th term in this sequences: 5/2, 5, 10, 20, 40, 80,.._? * O…

A: First term is: 52 Common ratio is: 2

Q: Find the exact values of the following sums 23n 3n (1) 52n n=1

A: As per our guidelines, I can answer only one question

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

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Q: If m times the nth term of an AP is equal to n times its nth term, show that the (m + n) th term of…

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Q: Find the sum, if it exists. 11 k Σ 13 k = 1 2/3

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Q: If k is a positive integer, find the (n!)k + 6 Σ ((k + 6)n)! n = 0 R =

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Q: What is the smallest integer n for which 25n>512?

A: The provided expression is as follow:

Q: FIND THE SMALLEST n So THAT I

A: In this question, we have to find n for given |Rn|<0.0001.

Q: Any n consecutive integers will include a number that is divisible by n.

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Q: For any integer a, show that a²-a+7 ends in one of the digits 3, 7, or 9.

A: For any integer a , we have to show that a2 - a + 7 ends in one of the digits 3 , 7 , or 9 . Note…

Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

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Q: Find the value of the number in the 75th term in this sequences : 4, 7, 12, 19, 28, .._? * O 4012 O…

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Q: 5. Find the sum of all the odd integers from 100 to 200, inclusive. a. 7,000 b. 7,500 6. How many…

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Q: Find the sum of the odd integers between 228 and 60

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Q: Find the sum of all the integers from 1 to 1000. Select one: a. 505,000 b. 5,000,000 C. 500,500 d.…

A: We have find out sum

Q: Find the sum of all four-digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without…

A: Answer: Option b)  666600

Q: Determine the sum in (국)". 2n=4

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Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

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Q: (*:') • (":") - () n+1` + 1 a 3 2

A: From ncr formula we can easily derive the answer.

Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: Suppose that 56 % of students play football, 53 % of students play cricket, and 12 % of students…

A: Let F=students play footballC=students play cricketGiven,P(F)=0.56P(C)=0.53P(F¯∩C¯)=0.12

Q: Find the largest negative integer leaves a remainder 2 when divided by 3, 5, and 12. (If it is not…

A: Let us  solve the question in the next step.

Q: The sum of the digits in the number 56 is 11. (5+6=11) a) Show that the sum of the digits of the…

A: a) Sum of the digits from 15 to 18 1+5=6 1+6=7 1+7=8 1+8=9 Now 6+7+8+9=30

Q: The sequence of positive whole numbers is given such that a, 1. If a7 = 120, find ag.

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Q: Find all integers that leaves the reminders 5,1, and 4 when divided by 8,5, and 9 respectively.

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Q: Find the sum of the infinite series 2, 3, 7, 2 102 3 10 103 104 105 106 107 3 + .. 10° 108

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Q: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9. How many…

A: Given that two-digit natural numbers are formed, with replacement, from the digits 0 through 9. So…

Q: Find the next two terms in (an)n20 beginning

A: Given,             3,  5, 11, 21, 43, 85, . . .

Q: Let A = (n:n is a multiple of 5 from 5 to 1000} B = {n: n is a multiple of 3 from 3 to 999}

A: The set A contains the multiple of 5 from 5 to 1000, that is A = {5, 10, 15, 20.....1000}.  The set…

Q: Given a natural number N show that there exists a sequence (an)n Oof positive real numbers such that…

A: We will use basic knowledge of numbers and identities to solve this question.

Q: In each case, find the first 5 terms of the sum and compute 3 2 2 The first 5 terms are: 000 The sum…

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Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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Q: (c) For each integer n, if n is odd, then 8 divides (n4 + 4n² + 11).

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Q: if n zo is an integer, then n!=n(n-)3.21 ...

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