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AlekseyPX
2 years ago
9

Write the series using summation notation. −3+4−5+6−7

Mathematics
1 answer:
Genrish500 [490]2 years ago
8 0
-3+4=1 and 1 -5= -4, -4+6=2 AND 2-7=-5 Answer =-5
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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
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Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

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The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

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3 years ago
Jake is taking four of his friends to dinner. At the restaurant, a meal, side item, dessert, and drink cost $5.60. The first dri
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It's the third one! Hope this helps:3
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Answer:

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Step-by-step explanation:

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Read 2 more answers
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zysi [14]

Answer:

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Step-by-step explanation:

7/9 - 2/8 x 4/9

Reduce the fraction.

7/9 - 1/4 x 4/9

Reduce the numbers:

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Subtract the fractions.:

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