Determine the 20th term of the sequence: -14,-8, -2, 4, 10,

Mathematics

1 answer:

Pie3 years ago

3 0

Answer: The 20th term is 100

Step-by-step explanation: It adds by 6 each time

-14, -8, -2, 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76, 82, 88, 94, 100

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${\boxed{\mathcal{\purple{D.\:81}}}}$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81$