Question

Find the sequence of
1,3,6,10,21​

Answer 1

Answer:

this is a triangular nuber

Answer 2

Step-by-step explanation:

This is the Triangular Number Sequence: 1, 3, 6, 10, 15, 21, 28, 36, 45, ...

The formula for the sequence is a(n)=(n-1)+d, where n=any nth ordinal term in the sequence, n-1=the previous term, and where d=a consecutive natural number N beginning with a(n1)=1, a(n2)=2,…

PREMISES

S=1, 3, 6, 10, 15, 21,…

The partial sequence suggests a pattern from left to right where the numbers increase by increasing amounts

ALGORITHM

a(n)=(n-1)+d, where n=any nth ordinal term in the sequence, n-1=the previous term, and where d=a consecutive natural number N beginning with a(n1)=1, a(n2)=2, a(n3)=3, and so forth over the range of the sequence.

PATTERN

(1) 0+1=1

(2) 1+2=3

(3) 3+3=6

(4) 6+4=10

(5) 10+5=15

(6) 15+6=21

(7) 21+7=28

(8) 28+8=36

(9) 36+9=45

(10) 45+10=55

and so forth

C.H.