Question

T he algebric form of an arithmetic sequence is 4 5 n + 3. a) What is the common difference of this sequence ? b) At what position the first integer term occurs in the sequence ? c) What is the first integer term of the sequence

Answer 1

Answer:

To find the "nth" term of an arithmetic sequence, start with the first term, a(1). Add to that the product of "n-1" and "d" (the difference between any two consecutive terms). For example, take the arithmetic sequence 3, 9, 15, 21, 27.... a(1) = 3. d = 6 (because the difference between consecutive terms is always 6.