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Juli2301 [7.4K]
3 years ago
15

What is the sum of the first 6 terms of the series -1+4-16+...

Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

819

Step-by-step explanation:

Givens

  • a = -1
  • r = - 4
  • n = 6

Formula

Sum = a(1 - r^n) / ( 1 - r)

Sum = -1(1 - (-4)^6 / (1 - -4)

Sum = -1 (1 - 4096) / 5

Sum = -1 (- 4095 ) / 5

Sum = 819

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Very simple.

Let's say you have an equation.

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3 years ago
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What is the square root of 8 and why?
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Anvisha [2.4K]

Answer:

R = \left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right]

Step-by-step explanation:

P - Q + R = I ( I is the identity matrix )

\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right] - \left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right] + R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] ( subtract corresponding elements )

\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right] + R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]

\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right] + R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]

R = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] - \left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right] = \left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right]

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3 years ago
Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messag
goldenfox [79]

Answer:

48

Step-by-step explanation:

because 20% of 240 is 48.

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