# 10th math

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of AP

1. 👍 0
2. 👎 0
3. 👁 515
1. First tell us what an AP is.

1. 👍 1
2. 👎 0
2. Arithmetic Progression?

1. 👍 1
2. 👎 1
3. use your two formulas for the general term of an AP and the sum of terms of an AP
a+3d + a+7d = 24 ----> 2a + 10d = 24

and

6/2[2a + 5d] + 10/2[2a+9d] = 44

now solve these two equations in two unknowns

1. 👍 0
2. 👎 0
4. If you are talking about arithmetic progressions, this one has the properties you require:

-13 -8 -3 2 7 12 17 22 27 32 ...

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

5. In a geometric sequence, the sum of the first five terms is 44 and the sum of the next five terms is -11/8. Find the common ratio and first term of the series.

2. ### maths

the sum of the 4th and 6th terms of an A.P is 42. the sum of the 3rd and 9th terms of the progression is 52. find the first term, the common difference and the sum of the first ten terms of the progression.

3. ### Maths

The sum of 1st five terms of an AP nd the sum of the 1st seven termd of the same AP is 167. If the sum of the 1st ten terms of this AP is 235, find the sum of its1st twenty terms

4. ### Math

In an arithmetic series, the sum of the 5th to the 8th terms inclusive is 114, whilst the sum of the 12th to 15th terms inclusive is 198. What is the 21st term? I have got 99=2a +3d and 57= 2a+3d Im not sure what to do now

1. ### math

The sum of the first 20 terms of an arithmetic series is identical to the sum of the first 22 terms. If the common difference is -2, find the first term.

2. ### arithmetic progression

An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.

3. ### Math

The 3rd and 9th term of a g.p are 54 and 39,336 respectively.find the 6th term,sum of 4th term,sum of 4th and 7th term and product of 2nd and 5th term

4. ### Math

The sum of the first 21 terms of a linear sequence is 28 and the sum of the first 28 terms is 21 . find which term of the sequence is 0 and also the sum of the terms preceeding it