The ratio of the sum of n terms of two A.P.s is (7n+1):(4n+27).Find the ratio of their mth term.
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last terms to the product of the two middle terms is 7 : 15. Find the numbers.
If the mth term of an A.P. be 1/n and nth term be 1/m, then show that its (mn)th term is 1.
IF THE SUM OF FIRST m TERMS OF AN AP IS n. AND THE SUM OF FIRST n TERMS IS m, THEN SHOW THAT THE SUM OF ITS FIRST( m+n) TERMS IS -(m+n).
Maths Project :make designs using arithmetic progression
if the pth term of an A.P is q and the qth term is p, prove that its nth term is (p+q-n)
find the 6th term from the end of the AP 5,2, -1 , -4................. -31 .
the sum of the first n terms of an AP is given by sn=3n2-n , determine the AP and its 25thterm.
If m times the mth term of an A.P is equal to n times its nth term, show that the (m+n)th term of the A.P is zero.
the sum of first six terms of an ap is 42 .the ratio of its 10th term is and its 30th term is 1:3. calculate the first and thirteenth term
the 12th term from the end in the AP 9,5,1.....is -107.Find the last term
The sum of the third and seventh term of an A.P. is 6 and their product is 8. Find the sum of the first sixteen terms of the A.P. .
If pth , qth and rth term of an AP are a,b,c respectively , then show that
(a-b)r +(b-c)p + (c-a)q = 0
Please help me with this question asap .
150 workers were engaged to finish a piece of work in a certain no. of days. 4 workers droped d 2nd day, 4 more workers droped the 3rd day n so on..... it takes 8 more days to finish the work now ..find d no. of days in vch the work waz completed....
Find the sum of all the numbers less than 1000, which are neither divisible by 5 nor by 2.
An AP consists of 37 terms. The sum of the three middle most terms is 225 and the
If the sum of first 7 terms of an AP is 49 and that of first 17 terms is 289.Find the sum of first n terms
The ratio of the sum of n terms of two A.P.s is (7n+1):(4n+27).Find the ratio of their mth term.
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last terms to the product of the two middle terms is 7 : 15. Find the numbers.
If the mth term of an A.P. be 1/n and nth term be 1/m, then show that its (mn)th term is 1.
a)Find the expression for number of plants in the nth row.
i) 2n + 1
ii) 2n − 1
iii) 4n − 1
iv) 2n + 3
b) Find the number of plants in the 7th row.
i) 21
ii) 7
iii) 15
iv) 17
c) If there are 25 plants in the last row, find the total number of rows.
i) 11
ii) 10
iii) 13
iv) 12
d) Assuming that Reema has kept distance between any two consecutive plants
in a row as 30 cm, find the length of the 12th row (i.e. the distance between
the first and the last plant in the 12th row neglecting the width of the plants).
i) 7.5 metres
ii) 7.2 metres
iii) 6.9 metres
iv) 7.0 metres
e) Reema’s father gifts her 50 more plants. She continues to arrange these
plants in Arithmetic Progression. She observes that she is falling short of
some plants to complete the A.P. How many minimum number of plants
does she require more to complete the A.P. ? (Assuming 25 plants in the last
row before her father gifts her 50 plants).
i) 6
ii) 7
iii) 8
iv) 5
IF THE SUM OF FIRST m TERMS OF AN AP IS n. AND THE SUM OF FIRST n TERMS IS m, THEN SHOW THAT THE SUM OF ITS FIRST( m+n) TERMS IS -(m+n).
1. What is minimum number of days he need to practice till his goal is accomplished?
2. Write the AP for the above situation.
Maths Project :make designs using arithmetic progression
if the pth term of an A.P is q and the qth term is p, prove that its nth term is (p+q-n)
find the 6th term from the end of the AP 5,2, -1 , -4................. -31 .
the sum of the first n terms of an AP is given by sn=3n2-n , determine the AP and its 25thterm.
If m times the mth term of an A.P is equal to n times its nth term, show that the (m+n)th term of the A.P is zero.
the sum of first six terms of an ap is 42 .the ratio of its 10th term is and its 30th term is 1:3. calculate the first and thirteenth term
the 12th term from the end in the AP 9,5,1.....is -107.Find the last term
The sum of the third and seventh term of an A.P. is 6 and their product is 8. Find the sum of the first sixteen terms of the A.P. .
If pth , qth and rth term of an AP are a,b,c respectively , then show that
(a-b)r +(b-c)p + (c-a)q = 0
Please help me with this question asap .
150 workers were engaged to finish a piece of work in a certain no. of days. 4 workers droped d 2nd day, 4 more workers droped the 3rd day n so on..... it takes 8 more days to finish the work now ..find d no. of days in vch the work waz completed....
Find the sum of all the numbers less than 1000, which are neither divisible by 5 nor by 2.
An AP consists of 37 terms. The sum of the three middle most terms is 225 and the
If the sum of first 7 terms of an AP is 49 and that of first 17 terms is 289.Find the sum of first n terms