Arithmetic sequence formula
Consider the arithmetic sequence: 5, 9, 13, 17, … .
Identify the common difference.
Determine the seventh term of the sequence.
Which term in the sequence has a value of 85?
Determine t1,d,tn for the sequences in which two terms are given
t4=14, t10=32
t3=−14, t12=−59
Three consecutive terms of an arithmetic sequence are written in the form: 1+2x,7x,3+4x
Solve for the value of x.
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An arithmetic sequence (arithmetic progression) is a number sequence with a common difference between successive terms. By using the arithmetic sequence formula, we can easily find the value of a term and the common difference in the sequence.
• arithmetic sequence: a sequence with a common difference between successive terms
• The nth term, tn ,of an arithmetic sequence: tn=t1+(n−1)d
where, tn: nth term
t1: first term
d : common difference