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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 8 April 2024, Shift 2, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

An arithmetic progression is written in the following way 2 5 8 11 14 17 20 23 26 29 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ The sum of all the terms of the 10th10^{th} row is ________.

The figure, in words

Triangular array of an AP: row 1: 2; row 2: 5, 8; row 3: 11, 14, 17; row 4: 20, 23, 26, 29; followed by two dashed lines indicating continuation.

Official answer

1505

NTA final key.

Chapter
Sequences and Series
Topic
AP and GP
Idea tested
AP Sum of n terms

Same idea in other shifts

Asked 31× in all
  1. 2 Apr 2026, Shift 2 · Q5The sum 131+13+231+3+13+23+331+3+5+…\frac{1^3}{1} + \frac{1^3 + 2^3}{1 + 3} + \frac{1^3 + 2^3 + 3^3}{1 + 3 + 5} + \ldots up to 8 terms, is:MediumSingle correct
  2. 4 Apr 2026, Shift 1 · Q7The first term of an A.P. of 3030 non-negative terms is 103\frac{10}{3}. If the sum of this A.P. is the cube of its last term, then its…MediumSingle correct
  3. 6 Apr 2026, Shift 1 · Q6The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P. is equal…MediumSingle correct
  4. 8 Apr 2026, Shift 2 · Q5Let α=3+4+8+9+13+14+…\alpha = 3 + 4 + 8 + 9 + 13 + 14 + \ldots up to 40 terms. If (tan⁡β)α1020(\tan\beta)^{\frac{\alpha}{1020}} is a root of the equation…MediumSingle correct
  5. 2 Apr 2025, Shift 1 · Q19Let a1,a2,a3,…a_1, a_2, a_3,\ldots be in an A.P. such that ∑k=112a2k−1=−725a1\sum_{k=1}^{12}a_{2k-1}=-\frac{72}{5}a_1, a1≠0a_1\neq0. If ∑k=1nak=0\sum_{k=1}^{n}a_k=0, then…MediumSingle correct
  6. 7 Apr 2025, Shift 2 · Q6Let ana_n be the nthn^{\mathrm{th}} term of an A.P. If Sn=a1+a2+a3+…+an=700S_n=a_1+a_2+a_3+\ldots+a_n=700, a6=7a_6=7 and S7=7S_7=7, then ana_n is equal to :MediumSingle correct
  7. 5 Apr 2024, Shift 1 · Q25Let a1,a2,a3,…a_1, a_2, a_3, \ldots be in an arithmetic progression of positive terms. Let…HardNumerical value
  8. 6 Apr 2024, Shift 2 · Q7A software company sets up mm number of computer systems to finish an assignment in 17 days. If 4 computer systems crashed on the start…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.