Mathematics: Is this a a) acute b)equiangular c)obtuse d)right

.Step-by-step explanation:Given : .To find : The sum of the first 30 terms .Solution: We have given .For n = 1 ...For n =2..Common difference = 17 - 11 = 6.Sum of nth term : .d = common difference = 6.For n = 30 .......Therefore, ....

Is this a a) acute b)equiangular c)obtuse d)right

Ответ:

robert7248

21.04.2020

Mathematics

$S_{30}=2940$ .

Step-by-step explanation:

Given : $a_{n} =6n+5$ .

To find : The sum of the first 30 terms .

Solution: We have given $a_{n} =6n+5$ .

For n = 1

$a_{1} =6(1)+5$ .

$a_{1} =6+5$ .

$a_{1} =11$ .

For n =2

$a_{2} =6(2)+5$ .

$a_{2} =17$ .

Common difference = 17 - 11 = 6.

Sum of nth term : $S_{n} =\frac{n}{2}[2a+(n-1)d]$ .

d = common difference = 6.

For n = 30 .

$S_{30} =\frac{30}{2}[2(11+(30-1)6]$ .

$S_{30} =15[22+29 *6]$ .

$S_{30} =15[22+174]$ .

$S_{30} =15[196]$ .

$S_{30}=2940$ .

Therefore, $S_{30}=2940$ .

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