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The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the first term of the arithmetic progression? I) The difference between the 16th term and 9th term of an arithmetic progression is 49. II) The average of 12 terms of an arithmetic progression is 40.5. III) The common difference is 5 more than the first term of the arithmetic progression.
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A sum of 45 terms of an Arithmetic progression is 5400. The ratio between the 11th term and 51st term is 3 : 13. Find the difference between the first term of progression and the common difference between the terms of progression. Quantity II: What should come to the place of ‘?’ in the following question: 234 + 35% of 920 – 4 / 5th of 110 = 7 / 9th of 378 + ? × 87
The sum to infinity of a geometric progression is 39/2. The sum to infinity to squares of the terms of the geometric progression is 253.5. What is the sum to infinity of cubes of the terms of the geometric progression?
The sum of fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first fifteen terms of that arithmetic progression?
The sum of the fourth and twelfth term of an arithmetic progression is 20. what is the sum of the first 15 terms of the artihmetic progression?
What is the average of the first sixty terms of an arithmetic progression having the first term of progression is 20 and the difference in terms T18 and T7 is 44?
The 4th and 7thterm of an arithmetic progression are 11 and -4 respectively. What is the 15thterm?
An arithmetic progressions in which first term is 4. Also, the sum of the first ten terms is 25/56 times of the sum of the first sixteen terms. Then, find the sum of the first 52 terms?
The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?
If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then $$\frac{{{S_1}}}{{{S_2}}}$$