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Arithmetic Progressions
Previous Year Questions (2022-2024)
Year 2022
- Find 20th term of AP: 5, 9, 13, 17, ...
Show Solution
a=5, d=4\nT_20 = 5 + 19(4) = 5 + 76 = 81 - Which term of AP: 21, 18, 15, ... is -81? Also find sum of terms till this term.
Show Solution
a=21, d=-3\nT_n = 21 + (n-1)(-3) = -81 => 21 - 3n + 3 = -81 => -3n = -105 => n=35\nS_35 = 35/2(42 + 34(-3)) = 35/2(42-102) = 35/2(-60) = -1050
Year 2023
- Find 20th term of AP: 5, 9, 13, 17, ...
Show Solution
a=5, d=4\nT_20 = 5 + 19(4) = 5 + 76 = 81 - Which term of AP: 21, 18, 15, ... is -81? Also find sum of terms till this term.
Show Solution
a=21, d=-3\nT_n = 21 + (n-1)(-3) = -81 => 21 - 3n + 3 = -81 => -3n = -105 => n=35\nS_35 = 35/2(42 + 34(-3)) = 35/2(42-102) = 35/2(-60) = -1050
Year 2024
- Find 20th term of AP: 5, 9, 13, 17, ...
Show Solution
a=5, d=4\nT_20 = 5 + 19(4) = 5 + 76 = 81 - Which term of AP: 21, 18, 15, ... is -81? Also find sum of terms till this term.
Show Solution
a=21, d=-3\nT_n = 21 + (n-1)(-3) = -81 => 21 - 3n + 3 = -81 => -3n = -105 => n=35\nS_35 = 35/2(42 + 34(-3)) = 35/2(42-102) = 35/2(-60) = -1050