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How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first (m + n) terms is zero
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
If the pth term of an A. P. is `1/q` and qth term is `1/p`, prove that the sum of first pq terms of the A. P. is `((pq+1)/2)`.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Which term of the progression 20, 19`1/4`,18`1/2`,17`3/4`, ... is the first negative term?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Which term of the A.P. `20, 19 1/4, 18 1/2, 17 3/4,` ..... is the first negative term?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
How many two-digit number are divisible by 6?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
How many two-digits numbers are divisible by 3?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Find the 25th term of the AP \[- 5, \frac{- 5}{2}, 0, \frac{5}{2}, . . .\]
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The fourth term of an A.P. is 11. The sum of the fifth and seventh terms of the A.P. is 34. Find its common difference.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The nth term of an AP is given by (−4n + 15). Find the sum of first 20 terms of this AP?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Draw a triangle PQR in which QR = 6 cm, PQ = 5 cm and times the corresponding sides of ΔPQR?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
If the common differences of an A.P. is 3, then a20 − a15 is
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Find the A.P. whose fourth term is 9 and the sum of its sixth term and thirteenth term is 40.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The first and the last terms of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
For what value of n, the nth terms of the arithmetic progressions 63, 65, 67, ... and 3, 10, 17, ... equal?
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The sum of first seven terms of an A.P. is 182. If its 4th and the 17th terms are in the ratio 1 : 5, find the A.P.
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
