MAH MBA CET Series and Progressions Questions

The 14th term of an AP is 202, and the 19th term of an AP is 277. Find the ratio of the series's first term and the 8th term.

The sum till infinity of a Geometric Progression, with first term 16 and common ratio $$r$$, is 48. Find the sum till infinity of another GP with first term 76 and a common ratio of $$\left(r-\dfrac{1}{6}\right)$$.

A rabbit covers a certain distance in such a way that he covers one-fifth of the distance covered on the previous day. If he covers 12000 meters on the first day, what is the maximum possible combined distance he can travel for all the days?

Series 1: 2, 5, 8, 11,...

Series 2: 20, 22, 24, 26, ...

What is the first common term in above two series?

a, b, c, d and e are 5 distinct numbers that from an arithmetic progression.
They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b anc c.
Determie which of the following statements is / are true in light of the above stated information ?
i. Average of all 5 terms put together is c
ii. Average of d and e is not greater than average of a and b
iii. Average of b and c is greater than average of a and d

Choose the correct option that should come next in the series given below :
2, 1, (1/2), (1/4), ...

There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. Determine the number of horizontal layers in the pile?

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

DIRECTION for the question: Find the wrong number in the series 1, 3, 10, 21, 64, 129, 356, 777

DIRECTION for the question: Solve the following question and mark the best possible option.

A car company sold 150 cars in a special 6-day sale. Each day, the company sold 6 more than the previous day. How many cars were sold on the 6th day?

DIRECTION for the question: Find the wrong number in the series 40960, 10240, 2560, 640, 200, 40, 10

How many terms are there in the AP. 20, 25, 30, ..... , 130?

DIRECTION for the question: Find the wrong number in the series 2880, 480, 92, 24, 8, 4, 4

DIRECTION for the question: Find the wrong number in the series
3, 8, 15, 24, 34, 48, 63

Find the 1st term of an A. P whose 8th and 12th terms are 39 and 59 respectively

The sum of two numbers is 15 and their gemetric mean is 20% lower than their arithmetic mean. Find the numbers.