Question

An arithmetic sequence k starts 4, 13, . . . . Explain how you would calculate the value of the 5,000th term

Answer 1

Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9

For an arithmetic sequence, the nth term is calculated using the relation :

• Tn = a + (n - 1)d

• d = common difference
• n = nth term
• a = first term

Here,

First term, a = 4

Common difference = 2nd term - 1st term = 13 - 4 = 9

nth term = 5000th term

The expression would be :

The required expression would be : T(5000) = 4 + (5000 - 1)9

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