The nth term of an a.p is 3n – 2 then
SpletHere, we debate how If the sum of n terms of a sequence is given by n(n+1)(n+2)/6 then the nth term of the sequence is: can help students learn Algebra. SpletThe nth term of an AP is 3n+7. So T1 = 10, T2 = 13, T3 = 16 or. a = 10 and d = 3. So the sum of the first 40 terms is. S40 = (40/2)[2*10 + (401)*3]. ... To solve a math equation, you …
The nth term of an a.p is 3n – 2 then
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SpletComparision with standard formula for summation upto first ’n’ terms of an arithmetic progression/series viz., S (n) = (n/2) (2a+d (n-1)), we have a=4, d=6. ALITER: S … Splet(iv) If (p – 1), (p + 3), (3p – 1) are in AP, then p is equal to (a) 4 (b) -4 (c) 2 (d) -2 (v) If the sum of n terms of an AP in 2n2 + 5n, the its nth term is (a) 4n – 3 (b) 3n – 4 (c) 4n + 3 (d) 3n + 4 Q2. Complete the following statements with appropriate word (s) in the blank space (s):
SpletHere, the first term a of this AP is T 1 = 2, the second term is T 2 = 5, the third term is T 3 = 8, and so on. We can clearly see that the common difference of this AP is 5 - 2 = 3. So if … Splet17. mar. 2024 · Best answer an = 3n + 2 Given sequence whose an = 3n + 2 To get the first five terms of given sequence, put n = 1, 2, 3, 4, 5 and we get a1 = (3 × 1) + 2 = 3 + 2 = 5 a2 = (3 × 2) + 2 = 6 + 2 = 8 a3 = (3 × 3) + 2 = 9 + 2 = 11 a4 = (3 × …
Splet25. mar. 2024 · The nth term of an AP is given by: a n = a + (n - 1) × d Calculation: Given: n th terms of two A.P.’s are 3n + 8 and 7n + 15. Here, we have to find the ratio between their 12th terms. So, 12 th term in 1 st AP: (T 12) 1 = 3 × 12 + 8 ⇒ (T12)1 = 36 + 8 = 44 ⇒ (T12)1 = 44 --- (1) Similarly, 12 th term of 2 nd AP: ⇒ (T12)2 = 7 × 12 + 15 SpletIt is given that sum of the first n terms of an A.P. is 3n 2 + 6n. ∴ First term = a = S 1 = 3 (1) 2 + 6 (1) = 9. Sum of first two terms = S 2 = 3 (2) 2 + 6 (2) = 24. ∴ Second term = S 2 − S 1 = …
SpletThe nth term of a sequence is 3n^2 - 1. The nth term of a different sequence is 30 - n^2. Find the only number that is in both of these sequences. There is probably a method to …
SpletSolution: To find a specific term of an arithmetic sequence, we use the formula for finding the nth term. Step 1: The nth term of an arithmetic sequence is given by an = a + (n 1)d. … heliodotosSpletThe n even natural numbers 2, 4, 6,… forms an A.P. with first terms 2 and common difference 2. So, the sum of first n even natural numbers is given by. The n odd natural … helio g95 vs dimensity 700 antutuSpletDetermine whether the series converges or diverges. Clearly indicate how you determined each 00 Z "2 °° cos(n) "3+4 3n4+1 ":1 n21 Use Limit comparison test to determine … heliodyne solarSplet15. I have to prove that any number of the form 3 n + 2 has a prime factor of the form 3 m + 2. Ive started the proof. I tried saying by the division algorithm the prime factor is either the form 3m,3m+1,3m+2. Case 1: 3 m suppose 3 m does divide 3 n + 2. That means 3 m r = 3 n + 2 where r is some integer. But we get m r − n = 2 / 3 and since ... heliofysikSplet19. jan. 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 the … helio etymologySpletThe nth term of an A.P is 1/2 (3-n), the first three terms are 📌 The difference of two consecutive term of an arithmetic sequence is called its 📌 The sum of the series … heliofitasSplet01. feb. 2024 · The sum of the first n terms of an AP is given by Sn, = 3n^2 - 4n. Determine the AP and the 12th term. ← Prev Question Next Question → +3 votes 79.8k views asked … helio g37 antutu