silverdays4624 silverdays4624
  • 01-08-2018
  • Mathematics
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Which expression defines the given series for seven terms?

8 + 13 + 18 + . . .


Respuesta :

Riia
Riia Riia
  • 01-08-2018

The given question is 8+13+18+...... which is in arithmetic progression . And for arithmetic series, we have to use the following formula for nth term .

[tex] a_{n} = a + (n-1)d [/tex]

Here a =8 , d=5

So we get

[tex] a_{n} = 8+(n-1)5 = 5n +3 [/tex]

And the required expression for n=7 is

[tex] \sum_{n=1}^{7}(5n+3) [/tex]

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