Question

question 15
which term of the arithmetic sequence 1, 10, 19, 28, ... is 334?
it is the $\boldsymbol{square}$ th term.
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Explanation:

Step1: Identify sequence parameters

First term $a_1=1$, common difference $d=10-1=9$, target term $a_n=334$.

Step2: Use arithmetic sequence formula

The nth term formula: $a_n = a_1 + (n-1)d$
Substitute values: $334 = 1 + (n-1) \times 9$

Step3: Simplify and solve for n

Subtract 1 from both sides: $333 = (n-1) \times 9$
Divide by 9: $37 = n-1$
Add 1 to both sides: $n = 37 + 1 = 38$

Answer:

38