Geometric Progression

JEE Main Mathematics · Progressions · 20 questions, latest first

• Let a_1, a_2, a_3, …. be an A.P. and g_1=a_1, g_2, g_3, …. be an increasing G.P. If a_1=a_2+g_2=1 and a_3+g_3=4, then a_10+g_5 is…20262 April, Shift 2 · Q4
• In a G.P., if the product of the first three terms is 27 and the set of all possible values for the sum of its first three terms…202628 January, Shift 1 · Q21
• Let a_1, a_2, a_3, … be a G.P. of increasing positive terms such that a_2. a_3. a_4=64 and a_1+a_3+a_5=813/7. Then a_3+a_5+a_7 is…202621 January, Shift 1 · Q5
• If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth…20257 April, Shift 2 · Q7
• Let x_1, x_2, x_3, x_4 be in a geometric progression. If 2, 7, 9, 5 are subtracted respectively from x_1, x_2, x_3, x_4, then the…20257 April, Shift 1 · Q6
• Let a_1, a_2, a_3, … be a G.P. of increasing positive numbers. If a_3 a_5=729 and a_2+a_4=111/4, then 24(a_1+a_2+a_3) is equal to20253 April, Shift 1 · Q6
• Let a_1, a_2, a_3, … be a G.P. of increasing positive terms. If a_1 a_5=28 and a_2+a_4=29, then a_6 is equal to:202522 January, Shift 1 · Q6
• In an increasing geometric progression of positive terms, the sum of the second and sixth terms is 70/3 and the product of the…20248 April, Shift 2 · Q8
• Let three real numbers a, b, c be in arithmetic progression and a+1, b, c+3 be in geometric progression. If a>10 and the…20244 April, Shift 2 · Q6
• If three successive terms of a G.P. with common ratio r (r > 1) are the lengths of the sides of a triangle and [r] denotes the…20241 February, Shift 2 · Q23
• Let 3, a, b, c be in A.P. and 3, a - 1, b + 1, c + 9 be in G.P. Then, the arithmetic mean of a, b and c is:20241 February, Shift 1 · Q6
• Let a and b be be two distinct positive real numbers. Let 11^th term of a GP, whose first term is a and third term is b, is equal…202430 January, Shift 2 · Q6
• If log_e a, log_e b, log_e c are in an A.P. and log_e a- log_e 2 b, log_e 2 b- log_e 3 c, log_e 3 c - log_e a are also in an A.P,…202429 January, Shift 2 · Q5
• If each term of a geometric progression a_1, a_2, a_3, …. with a_1=1/8 and a_2 ≠ a_1, is the arithmetic mean of the next two…202429 January, Shift 2 · Q6
• Let a_1, a_2, a_3, … be a G. P. of increasing positive numbers. Let the sum of its 6^th and 8^th terms be 2 and the product of…202313 April, Shift 2 · Q8
• Let the first term a and the common ratio r of a geometric progression be positive integers. If the sum of squares of its first…202310 April, Shift 1 · Q6
• If the sum and product of four positive consecutive terms of a G.P., are 126 and 1296, respectively, then the sum of common…202331 January, Shift 1 · Q66
• Let a_1, a_2, a_3, … be a G P of increasing positive numbers. If the product of fourth and sixth terms is 9 and the sum of fifth…202329 January, Shift 1 · Q84
• For the two positive numbers a, b, if a, b and 1/18 are in a geometric progression, while 1/a, 10 and 1/b are in an arithmetic…202325 January, Shift 2 · Q84
• The 4^th term of GP is 500 and its common ratio is 1/m, m ∈ N. Let S_n denote the sum of the first n terms of this GP. If…202324 January, Shift 1 · Q83