The nth term of an ap is 3n – 2
WebThe sum of the first n terms of an AP is given by Sn=(3n 2−n). Find its nth term. Medium Solution Verified by Toppr We know, n th term a n=a+(n−1)d Where a= First term d= Common difference n= number of terms a n=n th term Given, S n=3n 2−n S 1=3(1) 2−1=3−1=2 S 2=3(2) 2−2=12−2=10 a 1=2 a 2=S 2−S 1=10−2=8 a n=a+(n−1)d =2+(n−1)×6 … WebThe nth term for a quadratic sequence has a term that contains \ (x^2\). Terms of a quadratic sequence can be worked out in the same way. Example Write the first five terms of the...
The nth term of an ap is 3n – 2
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WebThe nth term of a sequence is 3n-2. Is the sequence an A.P. ? If so, find its 10th term . Easy Solution Verified by Toppr a n=3n−2 a n is a linear expression in n. So, the given sequence … WebJan 19, 2024 · The `n^ (th)` term of the sequence is `3n-2` . Is the sequence an AP. If so; find the 10th term . Doubtnut 2.64M subscribers 8.7K views 3 years ago The `n^ (th)` term of …
WebStep 1: Subtract first and second sum to find second term Given sum of n terms of AP is 2 n + 3 n 2 … (i) Put n = 1 in (i) S 1 = 2 + 3 = 5 Here, S 1 is the sum up to first term So first term … WebMar 17, 2024 · Given sequence whose a n = 3n + 2. To get the first five terms of given sequence, put n = 1, 2, 3, 4, 5 and we get. a 1 = (3 × 1) + 2 = 3 + 2 = 5. a 2 = (3 × 2) + 2 = 6 + …
WebDec 26, 2024 · The fourth term of AP whose nth term is 3n + 2 is 14. Given : The AP whose nth term is 3n + 2. To find : The fourth term of the AP . Solution : Step 1 of 2 : Write down the given data . Here it is given that for the AP nth term is 3n + 2 . Step 2 of 2 : Find fourth term of AP . Putting n = 4 in the given AP we get . ⇒ Fourth term = ( 3 × 4 ) + 2
WebThus, the formula of nth term of ap is, T n = a + (n - 1)d This relation helps us calculate any term of an AP, given its first term (a) and its common difference (d). Thus, for the AP that …
WebJul 25, 2024 · Lesson 3: nth term of an AP. Nth term of an arithmetic progression. Arithmetic sequence problem. nth term of an arithmetic progression (basic) ... Its bcoz, (Ref=n/2) the sum of any 2 terms of … symmetry securityWebApr 11, 2024 · To find the N th term in the Arithmetic Progression series we use the simple formula . T N = a 1 + (N-1) * d Recommended: Please try your approach on {IDE} first, … thackery washerWebOct 16, 2024 · Best answer Sn = 3n2 + 2n Taking n = 1, we get S1 = 3 (1)2 + 2 (1) ⇒ S1 = 3 + 2 ⇒ S1 = 5 ⇒ a1 = 5 Taking n = 2, we get S2 = 3 (2)2 + 2 (2) ⇒ S2 = 12 + 4 ⇒ S2 = 16 ∴ a2 = S2 – S1 = 16 – 5 = 11 Taking n = 3, we get S3 = 3 (3)2 + 2 (3) ⇒ S3 = 27 + 6 ⇒ S3 = 33 ∴ a3 = S3 – S2 = 33 – 16 = 17 So, a = 5, d = a2 – a1 = 11 – 5 = 6 symmetry series 360 folio case for ipad proWebNov 20, 2013 · a 3 =3(3)+2=11. The AP with nth term as 3n+2 is 5,8,11,14,.... Here, a=5 and d=3. S 25 = [2x5+(25-1)3] = [10+72] =1025. Answered by 20 Nov, 2013, 03:57: AM Application Videos. This video explains the concept of how to find the nth term of a … symmetry sculpting crease blenderWebFind the sum of the first 25 terms of an A.P. whose nth term is given by an = 2−3n. Solution Given that, an =2−3n Putting the value of n =1 ,then a1= 2−(3× 1) = 2−3= −1 Putting the value of n =2 ,then a2=2−(3× 2) = 2−6 = −4 Therefore, a =−1 and d= −4−(−1) =−4+1 =−3 Sn = n 2(2a+(n−1)d) S25 = 25 2[2×(−1)+(25−1)(−3)] = 25 2[−2−72] = 25 2 ×(−74) thackery white bootsWebIf the sum of n terms of an AP is 3n 2 + 5n and the m th term of the AP is 164. Find the value of m. 27; 9; 10; 12; Answer ... Demo Classes Available* Enroll For Free Now. Detailed Solution Download Solution PDF. Concept: If a n is the nth term of an AP and S n is the sum of n terms of the same AP then. a n = S n - S n - 1. Calculation: Given ... symmetry security softwareWebThe sum of the first n terms of an AP is (3n 2+6n). Find the nth term and the 15 th term of this AP. Medium Solution Verified by Toppr We know, n th term T n=a+(n−1)d Where a= First term d= Common difference n= number of terms T n=n th term Given: S n=3n 2+6n S 1=3(1) 2+6×1=3+6=9 S 2=3(2) 2+6×2=12+12=24 T 2=S 2−S 1=24−9=15 d=15−9=6 a=9 thackery vanity fair first edition