Answer:
The second term of an arithmetic sequence is 4. The fifth is 10. Find the first term. In this task we have 2 terms given: a2 = 4 and a5 = 10. We can use the n −th term formula to build a system of equations:
Step-by-step explanation:
The first term of the arithmetic sequence is -4
The common difference of the sequence is given as:
d = 7
The 22nd term is given as:
a22 = 143
An arithmetic sequence is represented as:
[tex]a_n = a + (n - 1)d[/tex]
Where a represents the first term, and d represents the common difference
So, we have:
[tex]143 = a + (22 - 1)*7[/tex]
[tex]143 = a +147[/tex]
Subtract 147 from both sides
a = -4
Hence, the first term of the arithmetic sequence is -4
Read more about arithmetic sequence at:
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