May Powell
12/14/2023 · Middle School
UESTION 3 Given the finite linear pattern: \( 12 ; 17 ; 22 ; \ldots ; 172 \) \( 3.1 .1 \quad \) Determine a formula for the \( n^{\text {th }} \) term of the pattern. \( 3.1 .2 \quad \) Calculate the value of \( T_{12} \). \( 3.1 .3 \quad \) Determine the number of terms in the pattern. Given the first four terms of a linear pattern: \( 3 ; x ; y ; 30 \) Calculate the values of \( x \) and \( y \).
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- \( T_n = 5n + 7 \)
- \( T_{12} = 67 \)
- There are 33 terms in the pattern.
- \( x = 12 \), \( y = 21 \)
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