SOLUTION: Hello. Can someone please help me with this series problem. I need to find {{{a[1] }}} and {{{d }}} Given: {{{a[7]=49}}} and {{{a[3] + a[9] = 82 }}} Thank you.

Algebra.Com
Question 937865: Hello.
Can someone please help me with this series problem.
I need to find and
Given:
and
Thank you.

Found 3 solutions by josgarithmetic, MathTherapy, MathLover1:
Answer by josgarithmetic(39629)   (Show Source): You can put this solution on YOUR website!
Symbolism suggests Arithmetic Sequence, with as the first term, a common difference d, and general term .


Use the formula to rewrite your given equations.

and .

Simplify and solve the system.

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Hello.
Can someone please help me with this series problem.
I need to find and
Given:
and
Thank you.
1st term, or 
Common difference, or
You can do the check!!
===================
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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The term of an arithmetic sequence is:

where is the first term in the sequence, is the common difference between terms and is the number of the term to find
given:
and
use to find and expressed in terms of and
=>
=>
=>
=>
=>
=>

find:
and

if we have
....substitute for




=>
=>
=>





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