How many terms of an AP must be taken for their sum to be equal to 91?

∴ We need 7 terms to get a sum of 91.

How many terms of an AP must be taken for their sum to be equal to 120 if its 3rd term is 9 and difference between the 7th and 2nd term is 20?

8 terms of an AP must be taken for their sum to be equal to 120.

How many terms of an AP must be taken for their sum to be equal to 200 if its third term is 16 and the difference between the 6th and the 1stterm is 30?

1 Answer. Explanation: If the difference between the 6th and the 1st term is 30, it means that the common difference is equal to 6. Since, the third term is 16, the AP would be 4, 10, 16, 22, 28, 34, 40, 46 and the sum to 8 terms for this AP would be 200.

How many terms of AP must be added to get the sum?

Hence, 15 terms of the AP must be added to get the sum 0.

How many terms of AP 18 16 14 take so their sum is zero?

Therefore 19 terms of the sequence has to be taken so that their sum is zero.

Episode 12: How Many Terms of an Arithmetic Sequence are Required to Equal a Given Sum?

How many terms of AP 65 60 55 Take that their sum is zero?

As the number of terms cannot be zero therefore total number of terms will be 27.

How many terms of the AP 18 16 14 12 are needed to give the sum 78 explain the double answer?

The sum of 78 can be attained by either adding 6 terms or 13 terms so that negative terms from T₁₁ onward decrease the maximum sum to 78.

How many terms of an AP 9 17/25 must be taken to give a sum of 636?

12 terms must be taken for AP. 9, 17, 25 ... to give a sum of 636.

How many terms of the AP 63 60 5754 must be taken so that their sum is 693 explain the double answer?

Solution. The given AP is 63, 60, 57, 54,……….. So, the sum of 21 terms as well as that of 22 terms is 693.

How many terms of the AP 1715 1311 must be added to get the sum 72 explain the double answer?

So we can see that the sum of 6 terms and sum of 12 terms is 72.

How many terms of an AP must be taken so that their sum is 78?

Now we have to find out the number of terms in the A.P if the sum of an A.P is 78. Where symbols have their usual meanings. So the number of terms of the A.P so that their sum is 78 are 4 and 13. So this is the required answer.

How many terms of the AP must be taken so that their sum is 120?

Hence, for n = 10 the sum is 120 for the given AP.

How many terms of the AP 5 10 15 must be taken to give a sum of 525?

Ans. (

Therefore, sum of first 15 terms of AP is equal to 525.

How many terms of AP must be taken to give a sum of 636?

So we have to take 12 terms in an A.P to give a sum of 636. So n = 12 is the required answer.

How do you find the sum of AP?

The sum of n terms of an AP can be easily found out using a simple formula which says that, if we have an AP whose first term is a and the common difference is d, then the formula of the sum of n terms of the AP is S_n = n/2 [2a + (n-1)d].

How do you find the number of terms in an AP?

All you need to do is plug the given values into the formula t_n = a + (n - 1) d and solve for n, which is the number of terms. Note that t_n is the last number in the sequence, a is the first term in the sequence, and d is the common difference.

How many terms of the AP 16 14 12 needed to give the sum 60 explain why do we get two answers?

The sum of the first terms = the sum of the first twelve terms. ∴ we get two answers. Ans. 5 terms or 12 terms.

How many terms of the AP 6 are needed to give the sum 25?

<br> Thus, 5 terms are needed to give the sum `-25.

How many terms are to be considered for getting the sum 5740 in the AP 7 14 21?

1 Answer. ∴ The number of terms to be considered is 40.

How many terms of the AP 9 17 25 Dotdotdot must be taken to get a sum of 450?

So, we can conclude that 10 terms must be taken from a given A.P to get the sum as 450.

How many terms of the AP 27 24 21 should be taken so that their sum is zero?

We have to find the number of terms that must be taken so that their sum is zero. Let the number of terms to be taken be . The number of terms to be taken is 19.

How many terms of the AP 16 14 12 are needed to give the sum 60?

Hence, the number of terms are 5 or 12.

How many terms of the sequence 18 16 14 should be taken so that the?

Since, the number of terms cannot be zero, hence the number of terms (n) should be 19.

How many terms of the AP 6'11 upon 2 Minus 5 are needed to give the sum?

Therefore the number of terms required is 5 or 20.

How many terms of the Series 6 must be taken that the sum may be 54?

Hence –3 is rejected.So we have n = 12 Alternatively we can directly add up individual terms and keep adding manually till we get a sum of 54. We will observe that this will occur after adding 12 terms.