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How many terms of the ap 43 39 35 ... be taken so that their sum is 252?
Wiki User
∙ 12y ago
12 terms.
Sum_of_ap = n(2a + (n-1)d) ÷ 2
For 43, 39, 35, ... a = 43, d = -4
⇒ 252 = n(2 x 43 + (n - 1) x -4) ÷ 2
⇒ 252 = 45n -2n2
⇒ 2n2 - 45n + 252 = 0
⇒ (2n - 21)(n - 12) = 0
⇒ n = 101/2 or 12
101/2th terms do not make sense, so cannot be an answer. Thus 12 terms are needed.
What happens is that the sum increases whilst the terms are positive. After 10 terms, the sum is still less than 252. The 11th term is the last positive term and takes the sum over 252; the 12th term is the first negative term and takes the sum back down to 252.
Wiki User
∙ 12y ago
Anonymous
Hswilasesiks
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What is the sum of digits in 252?
The sum of the digits in 252 is 2 + 5 + 2 which equals 9.
Find the sum of the first 48 terms of an aritmetic sequance 2 4 6 8?
Sum of 1st 2 terms, A2 = 2 + 4 = 6 Sum of 1st 3 terms, A3 = 2 + 4 + 6 = 12 Sum of 1st 4 terms A4 = 2 + 4 + 6 + 12 = 20 you can create a formula for the sum of the 1st n terms of this sequence Sum of 1st n terms of this sequence = n2 + n so the sum of the first 48 terms of the sequence is 482 + 48 = 2352
What is the sum of the first 10 terms?
The answer depends on how the terms and defined.
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sum means the answer of a math problem
A GP consist of an even number of terms if the sum of all the terms is 5 times the sum of terms occupying odd places then find its common ratio?
4
What is the sum of digits in 252?
The sum of the digits in 252 is 2 + 5 + 2 which equals 9.
What is the sum of the divisors of 130?
Sum of divisors of 130 = 252.
How many terms does the product of the sum and difference of two terms have?
7 terms
What are three consecutive numbers that sum up to 252?
If there are three consecutive numbers which sum to 252, you can find the answer by merely dividing 252 by 3. Then take that number and the two on either side of it. So we get 84, then we take it's neighbors 83 and 85 and we're done. 252.
How many terms are in this sum 5x - 6a plus 8?
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It means that the sum is a prime number. It says nothing about the individual terms in the sum.
What is the 7 terms of the sum and difference of two terms is?
The question does not make sense. The sum ad difference of two terms comprise only two terms so there are not 7 terms.
Find the sum of the first 48 terms of an aritmetic sequance 2 4 6 8?
Sum of 1st 2 terms, A2 = 2 + 4 = 6 Sum of 1st 3 terms, A3 = 2 + 4 + 6 = 12 Sum of 1st 4 terms A4 = 2 + 4 + 6 + 12 = 20 you can create a formula for the sum of the 1st n terms of this sequence Sum of 1st n terms of this sequence = n2 + n so the sum of the first 48 terms of the sequence is 482 + 48 = 2352
If sum of three consecutive multiples of 7 is equal to 252 Find the highest number?
91
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-147
The sum of terms divided by the number of terms?
average or mean
What is the sum of the first 10 terms?
The answer depends on how the terms and defined.
