1st Year Mathematics Chapter 4 Test4. Sequences and Series

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. The sum of the series - 3 + ( - 1 ) + 1 + 3 + 5 + .............. + $a_{16}$ is :
   1. 290
   2. 190
   3. 192
   4. None of these
2. The sum of first 100 positive integers :
   1. 5050
   2. 5051
   3. 5052
   4. None of these
3. How many multiples of 4 between 14 and 523 is :
   1. 126
   2. 127
   3. 128
   4. 227
4. $\sum_{k=1}^{10} {3}$is equal to:
   1. 10
   2. 103
   3. 300
   4. 30
5. Which term of the sequence - 6 , - 2 , 2 , ............ is 7 0 ?
   1. 19 th
   2. 20 th
   3. 21 th
   4. None of these
6. Predict the general term for the sequence.
   1. $$\frac{4}{3^{n - 2} }$$
   2. $$\frac{4}{3^{n - 1} }$$
   3. $$\frac{4}{3^{n } }$$
   4. $$\frac{4}{3^{n+ 1} }$$
7. Next two terms of geometric sequence 4 , 12 and 36 .
   1. 108 and 324
   2. 106 and 322
   3. 324 and 108
   4. None of these
8. How many terms of the sequence 18, 15, 12, ......... are needed to give a sum of 45?
   1. up to 7th
   2. up to 10th
   3. up to 6th
   4. up to 5th
9. A sequence in which any term is divided by its immediate previous term gives a constant is called :
   1. Arithmetic sequence
   2. Geometric sequence
   3. Complex sequence
   4. Real sequence
10. nth term of H . P is :
    1. $$\frac{1}{a + d}$$
    2. $$\frac{1}{a_1 + nd}$$
    3. $$\frac{1}{a_1 + (n - 1)d}$$
    4. $${a_1 + (n - 1)d}$$