Which term of the sequence tₙ = 5n - 3 for n ≥ 1 is 607? — Mathematics Part 1 · Predicting What Comes Next: Exploring Sequences and Progressions

Question 12 of 51beginner🔧 ApplyNumerical2 marks

Which term of the sequence $t_n = 5n - 3$ for $n \geq 1$ is 607?

Correct Answer

122nd term

Exercise: Exercise Set 8.1 | Q: 4 | (Page 6)

For More Understanding

Explanation

To find which term of the sequence equals 607, the formula for the nth term is equated to 607 and solved for n. As established in the textbook context, if the resulting value of n is a natural number, the given number is a valid term of the sequence.

Solution Steps

Step 1: Equate the $n^{th}$ term to 607: $5n - 3 = 607$
Step 2: Solve for $n$ : $5n = 607 + 3$ , which gives $5n = 610$ and $n = 122$
Step 3: Conclude the term number: Since 122 is a natural number, 607 is the 122nd term of the sequence.

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