-Findthe Sum of the first 500 positive, odd integers.

Q: Find the sum of the even integers between 23 and 53.

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Q: .What is the sum of all odd numbers between 1 to 50?

A: 10. The odd numbers between 0 to 50 are 1, 3, 5, 7, …., 49. Here, First term a=1, last term l=49.…

Q: Find the sum of the even integers between 21 and 45.

A: Even integers between 21 and 45 are 22,24,26,28,..........44. We can see that difference between two…

Q: Find the sum of the finite arithmetic sequence. Sum of the first 130 positive odd integers

A: We know that the sum of n numbers in an arithmetic progression (A.P.) is: Sn=n2a+l where a is the…

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: Find the sum of the first 20 terms of the arithmeticsequence 5, 12, 19, .....

A: We have to find sum of first 20 terms of the arithmetic sequence: 5, 12, 19, ....... We know the…

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: Use the rules for sums of powers of integers to compute the sum. 16 Σ k k=7

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Q: Find the sum of the series:  1 + 3.5 + 6 + 8.5 + . . . + 101

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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: Find the sum of the series    8+ 64/2+ 512/3! + 4096/4!

A: This question is based on power series.

Q: Find the sum of the odd integers between 14 and 58

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Q: Prove: The sum of an odd number of odd numbers must be odd.

A: Let us prove this by induction, that if n is odd and a1,a2,. . .. .an are odd, then ∑i=1nai is odd.…

Q: Find of the following the Sum scrics. 2. 1- In(10)+ 2! る!

A: The given series is, y=1-ln10+ln1022!-ln1033!

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: For how many values of n is the sum 1 + 2 + · • + n not divisible by n if 1 ≤ n < 100?

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Q: Find the sum of all multiples of 3 between 5 and 64

A: We can solve the problem by the method of arithmetic progression.

Q: Find the sum of n=1 n+2

A: Now , we will find the sum of the given series.     1/ infinitive  = 0

Q: 6) Find the sum N (N 1) N-

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Q: Determine the sum of the series 9. п(п + 2) n=1 8

A: First step is to break down the denominator in multiplication form to addition or subtraction form…

Q: # 33 Find the sum of the first 100 even non-zero whole numbers.

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Q: Compute the sum: n² – 2

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Q: En(n+3) n=1

A: Given, ∑n=15nn+3   We have to find the sum

Q: Find the sum of the series. 10" Σ 9 n!

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Q: (nt) n=1

A: we have to find the sum

Q: 25. the sum of the first 100 positive odd numbers

A: Formula for the arithmetic progression is Sum=n2a+Tn where,  a=first term n=total number of terms.…

Q: 6.) Find the sum of the first 50 positive integers ending in 6.

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: Find for the sum of the first 70 multiples of 3.

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

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Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ k k=3

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Q: Find the sum of the series 3(22+1)

A: Given series is -

Q: Find the sum of the odd integers between 206 and 68.

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Q: What is the sum of the first 80 terms of the series 10 +7+4+...

A: Given that: 10+7+4+...

Q: Find the sum of the first 10 terms of the arithmeticsequence 7, 10, 13, ....

A: To find the sum of the first 10 terms of the arithmetic sequence, 7,10,13,...

Q: List the first five terms of the sequence. a1 = 4, an+1 = 5an – 1 a1 = a2 аз az = a4 a5 =

A: Fist five teems of the sequence

Q: #2. Find the sum of the 8 n=1 1 (3n+ 1)(3n+4)

A: In given series we break the nth term of series as addition of nth term of two different series…

Q: 1 Compute the sum: n+3

A: First open the summation and then add them and find the required sum.Final solution is in the box.

Q: 2 6. The sum of the first n odd natural numbers is equal to n.

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Q: Find the sum of the odd integers between 30 and 54.

A: Given :Odd integers between 30 and 5431,33,35,37,39,41,43,45,47,49,51,53

Q: Find the sum of the odd integers between 38 and 70.

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Q: Find the sum of the integers from −20 to 256.

A: It is required to calculate the sum of integers from -20 to 256 that is:

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

A: Detailed Solution and Explanation is given below....

Q: 14. Find the Sum of: 1 in(n+3) In (n+2) ニ

A: To find the sum of the given term

Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

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Q: Find the sum of the first 19 odd positive integers. Need Help? Read It

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Q: Find the sum of all Integers between 84 and 719 which are multiple of 5

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.