The terms T₁, T₂, T,,T,,T, of a sequence are given as follows: T₁ = 1=1 T₂ = 3=1+2 T₁=6=1+2+3 T₁=10=1+2+3+4 (a) Write down the next two terms, T, and T, in the sequence 1, 3, 6, 10, 15, ...... (b) The nth term in the sequence is given by T₁ = n(n+1) DANYAL DANYAL Explain briefly why 200 is not in the sequence. (e) Use the formula to find 7₁00- (d) Use your answer to part (e) to find 5+10+15+...+500. (e) Hence find the sum of all the whole numbers from 1 to 500 which are not multiples of 5. T₁ =15=1+2+3+4+5
The terms T₁, T₂, T,,T,,T, of a sequence are given as follows: T₁ = 1=1 T₂ = 3=1+2 T₁=6=1+2+3 T₁=10=1+2+3+4 (a) Write down the next two terms, T, and T, in the sequence 1, 3, 6, 10, 15, ...... (b) The nth term in the sequence is given by T₁ = n(n+1) DANYAL DANYAL Explain briefly why 200 is not in the sequence. (e) Use the formula to find 7₁00- (d) Use your answer to part (e) to find 5+10+15+...+500. (e) Hence find the sum of all the whole numbers from 1 to 500 which are not multiples of 5. T₁ =15=1+2+3+4+5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve subparts C,D,E with the full step ans no reject thank u
Transcribed Image Text:3 The terms T₁, T₂, T,,T,,T, of a sequence are given as follows:
T₁ = 1=1
T₂ = 3=1+2
T₁ =6=1+2+3
T₁ =10=1+2+3+4
T₁ =15=1+2+3+4+5
(a) Write down the next two terms, T, and T, in the sequence
1, 3, 6, 10, 15, ......
(b) The nth term in the sequence is given by T, = n(n+1). DANYAL
DANYAL
Explain briefly why 200 is not in the sequence.
(c) Use the formula to find 7100-
(d)
Use your answer to part (e) to find 5+10+15+...+500.
(e) Hence find the sum of all the whole numbers from 1 to 500 which are not multiples
of 5.
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