Progression - Am I right?

Hi, could someone tell me if I've done this correctly?

For the progression 1,4,7,10, .... state the
50th term and the sum of the first 50 terms.

I have 50th term as 148

I have sum of first 50 as 1475...

Cheers.

Quote:

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Originally Posted by bobchiba

Hi, could someone tell me if I've done this correctly?

For the progression 1,4,7,10, .... state the
50th term and the sum of the first 50 terms.

I have 50th term as 148

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looks OK but if you told us how you found this it would be easier to
comment.

Quote:

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I have sum of first 50 as 1475...

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Sum of the first n terms of an AP with first term a and common difference d:

S(n) = (1/2) n (2a + (n-1)*d) = 3725

RonL

regarding the sum,

I was shown in a previous thread a while ago that

Sn = n(a1 + an) / 2

so I ended up with 25( 1 + a20)

sorry....just realised my mistake, should have been a50 not a20....it works out now,

thank you.

Quote:

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Originally Posted by bobchiba

regarding the sum,

I was shown in a previous thread a while ago that

Sn = n(a1 + an) / 2

so I ended up with 25( 1 + a20)

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Why not 25(1+a50)?

Below is a brute force calculation of the sum:

Code:

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>
>n=0:49;
>
>a=1+3*n;
>
>sum(a)
        3725
>

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RonL