SBI Sample Arithmetic Progression Problems

Dear Reader,
Below are four problems based on A.P series

Question 1

The n-th term of the series 6,10,14,... is:
a) 6n-1 b) 4n-2 c) 2(2n+1) d) 6n+1

Answer : c) 2(2n+1)

Solution :

The given series 6,10,14,... is in the form of arithmetic series
Here, the first term a = 6, common difference d = 4
The n-th term = tn = a + (n-1)d
tn = 6 + (n-1)4 = 6 + 4n - 4 = 4n + 2 = 2(2n+1)

Hence the answer is 2(2n+1)

Question 2

The sum of the first 100 - terms of the series 1/2, 3/2, 5/2, 7/2,... is:
a) 1000 b) 2000 c) 5000 d) 10000

Answer : c) 5000

Solution :

The given series is in the form of arithmetic progression.
Here, a = first term = 1/2, common difference = d = 1

we have to find the sum of the n terms.
We know that, " the sum of the first n-terms of the A.P series = n/2 (2a + (n-1)d).
Now, the sum of 100 terms = 100/2 [(2x1/2) + (99)1]
= 50 [ 1 + 99] = 50 x 100
= 5000.
Hence the answer is 5000.

Question 3

Find the total number of terms in 10,34,58,...,466
a) 30 b) 23 c) 25 d) 20

Answer : d) 20

Solution:

The given series 10,34,58,...,466 is in the form of arithmetic series.
Here a = first term = 10, d = common difference = 24 and l = last term = 466.
We know that the number of terms in A.P = n = (l-a)/d + 1
n = (466 - 10)/ 24 + 1
= 456 / 24 + 1
= 19 + 1
= 20.

Hence, the series has 20 terms.

Question 4

Suppose the series 28, 25, ...., -29 has 20 terms then the sum of all 20 terms is equal to:
a) -5 b) 10 c) -10 d) 5

Answer : c) -10

Solution:

Given series is 28, 25, ...., -29 and it has 20 terms with a = 28 and d = -3, l = -29 and n = 20

The sum of all n-terms in arithmetic sequence with last term(l) = S(n) = n(a+l)/2

Then, s(20) = 20(28 + (-29)) / 2
= 20(-1) / 2
= -10
Hence the required sum is -10.


Score Well In SBI & IBPS, PO & Clerk Exams

Related pages


data sufficiency questions and answersratio and proportion problem solving with solutiongeneral awareness for bank exams with answersmultiplication table upto 20ratio and proportion tutorialgk question for bank examsyllogism questions with answersaptitude test on probabilityibps exam best booklist of international airports in indiagk for banking examibps exam best bookbank po reasoning questionssurd questionsmensuration testsbi bank questions and answersrrb establishedcompound interest half yearly formulaarithmetic progression questions and answersquestions on surds and indicessbi ibpssurds problemssbi current affairsibps exam question papers and answersalligation math practice problemsgk for banking examprobability sums with solutionsmixtures and allegations problemslargest water lake in indiasurds indicesbank clerk exam model question paper with answersmensuration questionmutilated chequebanking abbreviationspnb slogansbi exam 2014sbi banking exambest book for bank clerk exam preparationlist of airport in tamilnadunabard establishedsums on hcf and lcmcomputer gk questionslogical reasoning question papersbodmas questionhard aptitude questions with solutionsquestions on surds and indicespursuit synonymssarva up graminbank gk questions and answerssyllogism questions with answerssyllogism tutorialsyllogism practice testirda questionsibps examssbi clerical exam model papersreasonings questionsmath question and answer for bank examimportant airports in indiahow to solve cube root problemssurds indicesbank exam sbisbi current affairsantonyms for sparsetamilnadu international airportquestions on surdsinternational airports listrrb establishedsbi technoparkbasics of ratio and proportionibps bank exam formquestions on permutation and combination with answer