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Nostrana [21]
1 year ago
10

If S_6=922.32 and r = 4/5, what is the value of a₁?

Mathematics
1 answer:
il63 [147K]1 year ago
3 0

Answer:

  a₁ = 250

Step-by-step explanation:

Use the given values in the formula for the sum of a geometric series, and solve for the unknown.

__

  S₆ = a₁×(1 -r⁶)/(1 -r) . . . . sum of 6 terms of a geometric series

  922.32 = a₁×(1 -(4/5)⁶)/(1 -4/5) = a₁×5×(1 -4096/15625) = a₁×11529/3125

  922.32×3125/11529 = a₁ = 250 . . . . divide by the coefficient of a₁

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Let's start with the specific ones,

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4 0
3 years ago
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Therefore, we have the;

Group number  {}                          Percentage of time pizza available

1                     {}                          80%

2                     {}                          80%

3                     {}                          80%

4                     {}                          80%

5                     {}                          40%

6                     {}                          100%

7                     {}                          80%

8                     {}                          100%

9                     {}                          80%

10                     {}                          80%

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