Sequences and series problem

Here's a sequences and series problem that me entire maths class just can't solve:
An arithmetic series has the property that the sum of the first ten terms is half the sum of the first sixteen terms. Also the 4th term is 14. Find the first term and common difference.
We cant seem to figure it out and so any help or suggestions would be appreciated!

Reply 1

TeeEm

19

Original post by Carloscactus

Here's a sequences and series problem that me entire maths class just can't solve:
An arithmetic series has the property that the sum of the first ten terms is half the sum of the first sixteen terms. Also the 4th term is 14. Find the first term and common difference.
We cant seem to figure it out and so any help or suggestions would be appreciated!

form two equations based on the standard formulas and solve them simultaneously

Reply 2

joostan

13

Original post by Carloscactus

Here's a sequences and series problem that me entire maths class just can't solve:
An arithmetic series has the property that the sum of the first ten terms is half the sum of the first sixteen terms. Also the 4th term is 14. Find the first term and common difference.
We cant seem to figure it out and so any help or suggestions would be appreciated!