Find the value of -3-23-

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Repeated Exponentiation

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Question

Find the value of $(- 3) \times {(- 2)}^{3}$ .

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Look at the pattern and fill in the blanks:

$4 = 3 \times 1 + 1$ , For $1^{st}$ term or $n = 1$

$7 = 3 \times 2 + 1$ , For $2^{nd}$ term or $n = 2$

$10 = 3 \times 3 + 1$ , For $3^{rd}$ term or $n = 3$

$13 = 3 \times 4 + 1$ , For $4^{th}$ term or $n = 4$

$16 = 3 \times 5 + 1$ , For $5^{th}$ term or $n = 5$

$∴$ Expression for $n^{th}$ term is $3 n + 1$

(iii) For $n = 30$ , $3 \times____+ 1 =____$ .

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