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likoan [24]
3 years ago
12

Evaluate the partial sum 9+12+15...+51+54+57

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

The partial sum is 561

Step-by-step explanation:

Given:

The arithmetic series =  9+12+15...+51+54+57

Partial sum between 9 and 57, with d=3

To Find :

The partial sum = ?

Solution

The given series is a arithmetic series with difference 3.

So the series is

9,12,15,18,21,24,27,30,33,36,29,42,45,48,52,51,54,57

Thus There are 17 terms,

Here the is a middle term is the the ninth,

The 9 term is  

a_ 9  =  a_0 +(n-1)d

a_ 9  =  9 +(9-1)3

a_ 9  =  9 +(8)3

a _9 = 33

Now the

The partial sum is 33 x 17  = 561

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