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kykrilka [37]
3 years ago
11

What is the sum of the first 35 terms in the series 7+9+11+

Mathematics
1 answer:
Temka [501]3 years ago
3 0

In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get

17.5(14 + 34*2) = 1435

Confirmed by a brute-force addition: 7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75=1435

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In the 30°-60°-90° triangle, there is a ratio between its sides

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       1               :         \sqrt{3}            :        2

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∵ The side opposite to 60° is q

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side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

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