1)In an A.P the first term is 5 & the common difference is -2/3 , find the 7 th term.
2) The first term of an A.P is -190 & the 100 th term is 8 Find the common difference.
3) Find the first term of an A.P whose common difference is 1/6 & the 19 th term is 6.
4)In an A.P the first term & the last terms are 25 & - 26 respectively.The common difference is - 17.
Find the number of terms of the series.
5) The n th term of a sequence is given by a(n) = 5n - 7. Check whether the sequence is an A.P
If so find the common difference.
6)check whether the following terms form an A.P.If so, find the common difference.
(a-b) , (a+8)-(b+2) , (a+16)-(b+4) , (a+24)-(b+6) , ……., ….
8)In an A.P the 9 th term is -72. The 15 th term is 60 less than the 9 th term .Find the first term of the A.P .
9) In an A.P the 5 th term is 40. The 16 th term is 99 more than the 5 th term . Find the common difference of the A.P .
10)If the 7 th & the 13 th terms of an A.P are -6 & -2 respectively, find the 31 st term.
11) 4 times the 4 th term of an A.P is same as 7 times the 7 th term. Which term of the A.P is zero?
12) 9times the 9 th term of an A.P is same as 15 times the 15 th term. The first term is -276.
Find the common difference.
13) Find the number of integers between 985 & 1175which are divisible by 15.
14) The given A.P is -324 , -299 , -274 , … ,… From which term onwards the numbers are positve?
15)How many numbers of 2 digits are divisible by 6?
16)which term of the A.P 8 , 14 , 20 , 26 , …. , .. Is 54 more than the 7 th term.
17)Two A.P’s have the same common difference . The first term of one A.P is 9 & the first term the other A.P is 26.
Find the difference in the 100 th terms of the two A.P’s.
18) Two A.P’s have the same common difference. The difference between their 50 th terms is 18.
What is the difference between their 500 th term?
19)In a garden there are 40 rose plants in the first row, 38 in the second row, 36 in the third row and so on .
There are 4 plants in the last row . How many rows of rose plants are there altogether?
7) The value obtained by subtracting the 12th term of an A.P. from the 18th term is 42. Find the common difference.
20) Srikar saved Rs.100 in the first month . Then onwards his savings per month increased uniformly by a particular amount . He saved Rs.280 in the tenth month . How much was the uniform increase in the savings corresponding to every month.