Q4 of 50 Page 21

Is 101 a term of the arithmetic sequence 13, 24,35,…? What about 1001?

a = 13


a2 = 24


a3 = 35


d = 35-24 = 11


Case i)


an = 101


an = 13 + (n-1)d


Solving, n = 9


∴ 101 is the term of this AP.


Case ii)


an = 1001


an = 13 + (n-1)d


Solving, n = 90.8


∴ 1001 is not the term of this AP.


More from this chapter

All 50 →
2

The terms in two positions of some arithmetic sequences are given below. Write the first five terms of each:

i) 3rd term 34


6th term 67


ii) 3rd term 43


6th term 76


iii) 3rd term 2


5th term 3


iv) 4th term 2


7th term 3


v) 2nd term 5


5th term 2

 3

The 5th term of an arithmetic sequence is 38 and the 9th term is 66. What is its 25th term?

 5

How many three-digit numbers are there, which leave a remainder 3 on division by 7?

 6

Fill up the empty cells of the square below such that the numbers in each row and column from arithmetic sequences:

What if we use other numbers instead of 1, 4 28 and 7?