CHAPTER 1 ARITHMETIC SEQUENCES
1) Consider the arithmetic sequence 6 , 10 ,14 ,........ .
a) What is its common difference ?
b) What is its 10 th term?
c) What is its algebraic form ?
2) The algebraic form of an arithmetic sequence is 4 n+1 .
a) What is its common difference ?
b) What is its first term ?
c) What is the remainder when each term of this sequence is
divided by 4 ?
3) 4 th term of an arithmetic sequence is 23 and its 11 th term 6 5.
a) What is its common difference ?
b) What is its first term ?
c) Find the position of 299 in this sequence ?
4) 11 th term of an arithmetic sequence is 26 .
a) What is the sum of first and 21 st terms of this sequence ?
b) what is the sum of first 21 terms?
5) Find the following sums ?
a) 1+2+3+4 +5+.......................+100
b) 3+6+ 9+12+15+...................+300
6) The sum of first 5 terms of an arithmetic sequence is 35 and
the sum of first 9 terms is 99
a) What is its third term ?
b) What is its common difference ?
c) What is the algebraic form of this sequence ?
7) a)Write the 6th term of the arithmetic
sequence 1,25,49,73,97,.....
b)How many perfect square terms are there in the arithmetic
sequence 97,73,49,.....?
8) What is the sum of the first 5 terms of arithmetic
sequence 1,3,5,7...?
b)What is the sum of the first n terms of the arithmetic
sequence 1,3,5,7.....?
c)Find the sum of the first n terms of the arithmetic sequence
1/n,3/n,5/n,7/n....?
d)What is the sum of the first 2020 terms of the arithmetic
sequence 1/2020,3/2020,5/2020,7/2020......?
9) a) What is the common difference of the arithmetic sequence 5 , 8 ,11, ..... . ?
b) What is the common difference of the arithmetic sequence 9, 12, 15 , ..... ?
c) What is the difference between the sum of first50 terms of these
sequences?
10 Consider the arithmetic sequence 7 , 10 ,13 , ....
a) What is its common difference ?
b) Is 90 a term of this sequence ? Why ?
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Answer:
Step-by-step explanation:
1) (a)ans common difference (d) = a2-a1 =10-6= 4
(b)ans a+9d = a10
so, a=6 and d=4
putting the value of a=6 and d=4
6+9(4) = 42
so, 42 is its 10th