# arithmetic

posted by .

the sum of irst and the fourthterm of a linear squence is10 and the sum of its thired and seventh term is 20.find the common difference and the first term

• arithmetic -

The nth term of a linear sequence is a + (n-1)d

T1 + T4 = a + a+3d = 10
T3 + T7 = a+2d + a+6d = 20

2a + 3d = 10
2a + 8d = 20

5d = 10
d=2
a=2

## Similar Questions

1. ### Precalculus

The 8th term in an arithmetic sequence is 5, and the sum of the first 10 terms is 20. Find the common difference and the first term of the sequence. Alright so in an arithmetic squence the difference d between any two successive numbers …
2. ### maths

The thirteenth term of an arithmetic progrssion os 27 and the seventh term is three timees the second term. tind the first term,common difference and the sum of the first ten terms
3. ### maths

The thirteenth term of an arithmetic progrssion os 27 and the seventh term is three timees the second term. tind the first term,common difference and the sum of the first ten terms
4. ### arthmetic

in an arthmetic progression or series,the 13th term is 27 and the 7th iterm is 3 times the 2nd term ,find first term the common difference the sum of rhe squence
5. ### Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.
6. ### Math(arithmetic & Geometric Series)

1)The sum of 6 terms of an arithmetic series is 45, the sum of 12 terms is -8. Find the first term and the common difference?
7. ### Arithmetic progession

The third term of an A.P is 10times more than the second term. Find the sum of the eight and fifteen term of the A.P if the seventh term is seven times the first term
8. ### maths

the sum of the first 53 terms of an arithmetic series is 4 240 while the seventh term is equal to 20. Find the first term on common difference
9. ### arithmetic

in an arithmetic progression the 13th term is 27 and the 7th term is three times the second term find;the common difference,the first term and the sum of the first ten terms
10. ### mathematics

the 10th term of an arithmetic sequence is equal to the sum of 40 and 5th term.If the 15th term is 127 what is its common difference?

More Similar Questions