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\( 8 ; 13 ; 18 ; 23 ; \ldots \ldots . \). is a given sequence. (1) Determine the general rule ( \( n \)th term (3) Which term is equal to 603 ?

Ask by Lyons Hardy. in South Africa
Mar 13,2025

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The nth term of the sequence is \( a_n = 5n + 3 \). The term equal to 603 is the 120th term.

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The given sequence is increasing by 5 each time, starting from 8. The \( n \)th term can be described by the formula \( a_n = 8 + 5(n - 1) \), which simplifies to \( a_n = 5n + 3 \). To find which term is equal to 603, set \( a_n = 603 \) and solve for \( n \): \( 5n + 3 = 603 \) Subtract 3 from both sides: \( 5n = 600 \) Now divide by 5: \( n = 120 \) So, the 120th term of the sequence is equal to 603.

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