Mathematics
The sequence 2, 9, 16, ….. is given.
(a) Identify if the given sequence is an AP or a GP. Give reasons to support your answer.
(b) Find the 20th term of the sequence.
(c) Find the difference between the sum of its first 22 and 25 terms.
(d) Is 102 a term of this sequence?
(e) If ‘k’ is added to each of the above terms, will the new sequence be in A.P. or G.P.?
Related Questions
(a) Write the nth term (Tn) of an Arithmetic Progression (A.P.) consisting of all whole numbers which are divisible by 3 and 7.
(b) How many of these are two-digit numbers? Write them.
(c) Find the sum of first 10 terms of this A.P.
The sum of a certain number of terms of the Arithmetic Progression (A.P.) 20, 17, 14, ……. is 65. Find the:
(a) number of terms.
(b) last term.
Case Study II
The production of TV sets in a factory increases uniformly by a fixed number every year.
It produced 16000 sets in the 6th year and 22600 in the 9th year.Based on this information, answer the following questions:
The production of the TV sets during the first year was :
(a) 4000
(b) 4500
(c) 5000
(d) 5500What was the uniform increase in the production of TV sets every year?
(a) 1800
(b) 2400
(c) 1600
(d) 2200The production of the TV sets during the 8th year was:
(a) 20000
(b) 20400
(c) 21200
(d) 22800The total production of the TV sets during first 6 years was:
(a) 56000
(b) 72000
(c) 66000
(d) 63000The average production of the TV sets during first 6 years was:
(a) 10500
(b) 11000
(c) 11500
(d) 12000