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Karo-lina-s [1.5K]
3 years ago
8

What is -5/4 to the 2nd power?

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

\frac{25}{16}

Step-by-step explanation:

(-\frac{5}{4})^2\\\\ \text {Apply power of a fraction rule: } (\frac{a}{b})^x=\frac{a^x}{b^x}\\\\(-\frac{5}{4})^2 = \frac{-5^2}{4^2}=\frac{25}{16}\\\\\boxed{(-\frac{5}{4})^2=\frac{25}{16}}

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The formula for a sequence with first term = 1.7 and common difference 0.5 is: a_n = 1.2 + 0.5n

Step-by-step explanation:

The first term and common difference are used to induce a formula for the arithmetic sequence

The explicit formula for a geometric sequence is:

a_n = a_1+(n-1)d

Given

First term = a1 = 1.7

Common Difference = d = 0.5

putting the values in the formula

a_n = 1.7 + (n-1)(0.5)\\a_n = 1.7 + 0.5n-0.5\\a_n = 1.2 + 0.5n

The formula for a sequence with first term = 1.7 and common difference 0.5 is: a_n = 1.2 + 0.5n

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/13218251
  • brainly.com/question/13168205

#LearnwithBrainly

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