Answer:
a₁₅ = 122
Step-by-step explanation:
Arithmetic sequence formula:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.
For your given sequence:
[tex]10, 18, 26,34,42,...[/tex]
a₁ is 10
n is 15 (15th term)
d is 8 (each term increases by 8 over the last)
Plug those 3 variables in, and solve for a₁₅:
[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]
