Discover the First 10 Terms of 3 Different Sequences | Easy Sequence Question

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SUMMARY

The discussion focuses on identifying the first 10 terms of a sequence defined by the sum of the first n positive integers. The correct sequence is 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, which is derived from the formula n(n + 1)/2. The user initially provided an incorrect sequence by doubling previous terms instead of summing them. The correct approach involves calculating cumulative sums for each integer up to n.

PREREQUISITES
  • Understanding of arithmetic sequences
  • Familiarity with the formula for the sum of the first n integers
  • Basic mathematical operations (addition)
  • Knowledge of sequence notation
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List the first 10 trems of each of these sequences.

i need help with this one:
1.) the sequence whose nth term is the sum of the first n positive integers

1,2,3,6,12,24,48,96...

i'm not really sure if this is correct. what I am doing is just adding the previous numbers together to get an answer.
 
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"the sequence whose nth term is the sum of the first n positive integers"
So for n = 1, add the first 'one' integers: 1
For n = 2, add the first two integers: 1+2 = 3
For n = 3, add the first three integers: 1+2+3 = 6
...
 

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