Final answer:
To find the second term of an arithmetic progression, use the formula for the nth term. Solve for a1 and d using the given terms, and substitute them into the formula to find the second term.
Step-by-step explanation:
To find the second term of an arithmetic progression, we need the formula for the nth term of an arithmetic progression. The formula is given by:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.
In this problem, the seventh term is 3436 and the ninth term is 328. We can use these values to find the common difference and then use the formula to find the second term:
3436 = a1 + 6d
328 = a1 + 8d
Using these two equations, we can solve for a1 and d. Once we have those values, we can substitute them into the formula to find the second term.
The correct answer is option B. 3420.