First Triangular number: 3 (1 +2), Second Triangular number: 6 (1 + 2 + 3), Third Triangular number: 10 (1 + 2 + 3 + 4)....Find the seventh triangular number using the above pattern.
Answers
Answer:
36
Step-by-step explanation:
The triangular numbers follow a certain pattern.
The pattern is adding numbers in their consecutive order. for example, the first triangular number is an addition of the first two numbers which are 1+2. Using this pattern, the seventh triangular number will be the addition of the first 8 numbers which are 1 to 8.
The answer becomes 36
Step-by-step explanation:
A triangular number or triangle number counts objects arranged in an equilateral triangle (thus triangular numbers are a type of figurate numbers, other examples being square numbers and cube numbers). The nth triangular number is the number of dots in the triangular arrangement with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers (sequence A000217 in the OEIS), starting at the 0th triangular number, is

The first six triangular numbers
0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666...