SOLUTION: The 11th term of an arithmetic sequence is 57 and the sum of The first and fourth is 29 . 1, Determine the first three terms of the sequence. 2, Determine a formula of the nth

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Question 1205669: The 11th term of an arithmetic sequence is 57 and the sum of
The first and fourth is 29 .
1, Determine the first three terms of the sequence.
2, Determine a formula of the nth term.
3,Is 100 a ter
m in the sequence justify your answer

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
ARITHMETIC sequence general term
n is index
d is common difference between terms
A is first term


(fixed)

Description gives the equation system .











-


-
general term, ;
do what you need from that.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


th term of an arithmetic sequence formula is:
where is first term and is common difference

if the th term of an arithmetic sequence is , we have



then

...eq.1

and, if the sum of the first and fourth is , we have

since


we have


....eq.2

from eq.1 and eq.2 we have







go to
...eq.1, substitute





1, Determine the first three terms of the sequence.




2, Determine a formula of the nth term.


3, Is a term in the sequence justify your answer






=> is not a term in this sequence because is not an

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