Sigma notation Quiz 1

Question 1

Evaluate sum $$\sum\limits_{2}^{7}{\dfrac{3n+1}{5n-7}}$$. Round off the digits to 2.

Accepted Answer

7.08

Answer

8.09

Answer

7.54

Answer

9.10

Question 2

Determine the summation for the following series 8,64,512,4096,32768

Accepted Answer

$$\sum\limits_{n=1}^{5}{{{(2)}^{3n}}}$$

Answer

$$\sum\limits_{n=1}^{5}{2{{n}^{3}}}$$

Answer

$$\sum\limits_{1}^{5}{{{n}^{3}}}$$

Answer

None of these

Question 3

Express the series in the form of summation notation 3 ,15,63,255,1023,4095,16383

Accepted Answer

$$\sum\limits_{1}^{7}{{{2}^{2n}}-1}$$

Answer

$$\sum\limits_{1}^{7}{{{2}^{2n-1}}}$$

Answer

$$\sum\limits_{1}^{7}{{{2}^{n-1}}}$$

Answer

None of the above

Question 4

Evaluate $$3,3	imes 2,3	imes {{2}^{2}},3	imes {{2}^{3}},3	imes {{2}^{4}},..........3	imes {{2}^{20}}$$

Accepted Answer

6291453

Answer

7291453

Answer

6291543

Answer

6219543

Question 5

Evaluate $$\sum\limits_{n=0}^{30}{-5	imes {{0.9}^{n}}}$$

Accepted Answer

-48.09

Answer

-50.09

Answer

-63.09

Answer

-72.09