# Quiz Discussion

Find the nth term of the following sequence :
5 + 55 + 555 + . . . . Tn

Course Name: Quantitative Aptitude

• 1]

5(10n - 1)

• 2]

5n(10n - 1)

• 3]

5/9×(10n−1)

• 4]

(5/9)n×(10n−1)

##### Solution
No Solution Present Yet

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# Quiz
1
Discuss

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

• 1]

$$\frac{{{3^{10}}}}{2}$$

• 2]

310 - 210

• 3]

243 × (35 -1)

• 4]

310 - 25

• 5]

None of these

##### Solution
2
Discuss

If the sum of the series 2 + 5 + 8 + 11 … is 60100, then the number of terms are

• 1]

100

• 2]

150

• 3]

200

• 4]

250

##### Solution
3
Discuss

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

• 1]

-30

• 2]

41

• 3]

-23

• 4]

-34

##### Solution
4
Discuss

For A.P. T18 - T8 = ........ ?

• 1] d
• 2] 10d
• 3] 26d
• 4] 2d
##### Solution
5
Discuss

A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?

• 1] 220
• 2] 220 -1
• 3] 219 -1
• 4] 219
• 5] None of these
##### Solution
6
Discuss

Find the 15th term of the sequence 20, 15, 10 . . . . .

• 1] -45
• 2] -55
• 3] -50
• 4] 0
##### Solution
7
Discuss

Find the nth term of the following sequence :

• 1]

5(10n - 1)

• 2]

5n(10n - 1)

• 3]

$$\frac{5}{9} \times \left( {{{10}^n} - 1} \right)$$

• 4]

$${\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)$$

##### Solution
8
Discuss

If the sums of n terms of two arithmetic progressions are in the ratio $$\frac{{3n + 5}}{{5n + 7}}$$   then their nth terms are in the ration

• 1]

$$\frac{{3n - 1}}{{5n - 1}}$$

• 2]

$$\frac{{3n + 1}}{{5n + 1}}$$

• 3]

$$\frac{{5n + 1}}{{3n + 1}}$$

• 4]

$$\frac{{5n - 1}}{{3n - 1}}$$

##### Solution
9
Discuss

If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then $$\frac{{{S_1}}}{{{S_2}}}$$

• 1]

$$\frac{{2n}}{{n + 1}}$$

• 2]

$$\frac{n}{{n + 1}}$$

• 3]

$$\frac{{n + 1}}{{2n}}$$

• 4]

$$\frac{{n - 1}}{n}$$

##### Solution
10
Discuss

If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is

• 1] 3200
• 2] 1600
• 3] 200
• 4] 2800
# Quiz