Question

Which equation represents the formula for the general term an, of an arithmetic sequence with a first term of 8 and a common difference of 0.3? an = 7.7 + 0.3n an = 8 + 0.3n an = 8.3 + 0.3n an = 7.7 – 0.3n

Answer 1

The formula for the general term of an arithmetic sequence with first term, a, and a common difference, d, is given by
$A_n=a+(n-1)d$

Given that the first term of an arithmetic sequence is 8 and the common difference of 0.3, then the equation that represents the formula for the general term of the arithmetic sequence is given by
$A_n=8+(n-1)0.3=8+0.3n-0.3=7.7+3.3n$