Write this in expanded form and find the sum.

9514 1404 393

  (c) 5 +15/4 +45/16 +135/64 +...; 20

Step-by-step explanation:

The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...

  5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum

Of course, the terms are ...

  5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...

  = 5 + 15/4 + 45/16 +135/64 + ... . . . series

Together, these observations match choice C.

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step-by-step explanation:

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hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8