Determine the common difference of an arithmetic sequence, whose first term is 2 and 6th term is 27?
- 5
- 4
- 6
- None of these
Explanation
Let's find the common difference (d) of the arithmetic sequence.
Step 1: Write the formula for the nth term
an = a + (n - 1)d
Step 2: Plug in the values
a = 2, n = 6, an = 27
27 = 2 + (6 - 1)d
27 = 2 + 5d
Step 3: Solve for d
25 = 5d
d = 25/5
d = 5
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