Question 690880
If I say {{{ n }}} is the number of
the term of the sequence starting with zero, the
sequence looks like:
{{{ 2 + 5*0 = 2 }}}
{{{ 2 + 5*1 = 7 }}}
{{{ 2 + 5*2 = 12 }}}
{{{ 2 + 5*3 = 17 }}}
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To get 196 terms, I want to let {{{ n }}}
run from {{{ 0 }}} to {{{ 195 }}}
Summing up the terms as I started doing, I have:
{{{ 2*196 }}} + 5*( 0 + 1 + 2 + 3 + 4 + 5 + . . . + 195 )
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The only difficult thing here is the summation in the parentheses
I recall that {{{ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = (1/2)*10*11 }}}
( check it out )
So your summation is {{{ (1/2)*195*196 }}}
 {{{ (1/2)*195*196 = (1/2)*38220}}}
{{{ (1/2)*38220 = 19110 }}}
Now I have
{{{ 2*196 + 5*19110 }}}
{{{ 392 + 95550 = 95942 }}} answer
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I don't know any way to check the answer,
other than with some fancy calculator 
or computer program.