How do you find the fifth term in a sequence?

How do you find the fifth term in a sequence?

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula. Step 2: Now, to find the fifth term, substitute n = 5 into the equation for the nth term.

What is the fifth term in the sequence of triangle numbers?

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

What is nth term?

The ‘nth’ term is a formula with ‘n’ in it which enables you to find any term of a sequence without having to go up from one term to the next. ‘n’ stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of ‘n’.

What is the 5th term of the sequence an 5n 1?

5th term=5*5+1=26.

How do you find the sum of the first 20 terms?

We have to find sum of first 20 terms, so we put n as 20 in the formula for sum of n terms, i.e. \[{S_n} = \dfrac{n}{2}(2a + (n – 1)d)\]. So, the sum of the first 20 terms of the series formed by common terms of two given series is 4020. So, the correct answer is “Option A”.

What is the sixth triangular number?

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…

Is 42 a triangular number?

Answer: 42 is the triangular number in the given list.

What is the Sn formula?

Sn = a + (a + d)+(a + 2d) + + (ℓ − 2d)+(ℓ − d) + ℓ. 2 n(a + ℓ) . We have found the sum of an arithmetic progression in terms of its first and last terms, a and ℓ, and the number of terms n.

What is the nth term examples?

Finding the nth Term of an Arithmetic Sequence Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d . Example 1: Find the 27th term of the arithmetic sequence 5,8,11,54,… . a8=60 and a12=48 .

What is the nth term of sequence 25?

Given series 25,-125,625,-3125….. is geometric progression. a=t1=25,t2=-125. r=t2t1=-12525=-5. nth term (tn)=arn-1=(25)(-5)n-1.

What does the number 5 mean in the Bible?

Meaning of Numbers in the Bible The Number 5 The Meaning of Numbers: The Number 5 The number 5 symbolizes God’s grace, goodness and favor toward humans and is mentioned 318 times in Scripture.

Can a number be expressed as a power of ten?

If you are dealing with very small numbers (0.025), they can be expressed as a power of ten. However, the power would be negative. Similarly, large numbers (4000) can be expressed as a positive power of ten.

What does the number 10 mean in numerology?

Your soul is most satisfied when you are giving and being of service. Your 10 Birthday number blesses you with great leadership skills. Your mind is sharp and allows you to dream up ingenious ideas and organize all the details, then direct others how to carry things out. You have a keen awareness of what’s happening around you.

Is the power of ten negative in standard form?

Raise this number to the power of 10 and multiply it to the original value. Round up to the third-place value. Decimal numbers have small values. Hence, when you are converting them to standard form, the power of ten is negative.