Math, asked by aliyahjavid1, 2 months ago

Here are the first four terms of an arithmetic sequence.

6 10 14 18

Write down an expression, in terms of n , for the (n+1)th term of this sequence.

Answers

Answered by siddhantrahulpatil
10

Answer:

4(n-1) + 6

Step-by-step explanation:

So, as you can see, the sequence seems to be increasing by 4 each time.

So, start by finding n = 0.

6 - 4 = 2.

take 2 and add 4 * (n-1) since each time n increases you would add 4.

so the equation for the current term would be 2 + 4(n-1). In order to find the equation for the term after that just add 4 to the equation.

So the answer would be 4(n-1) + 6.

Answered by shinrojyon2006
0

Answer:

Step-by-step explanation:

Given,

Common Difference ( d ) = 4

First term ( a ) = 6

tₙ = (a + ( n - 1 )d)

( n + 1 )th term = (a + n d) -----------------(ii)

Substituting the value of n in equation (ii)

(n+1)th term = [a + { a + ( n- 1 )d} d ]

(n+1)th term = [ a + ad + nd² - d²]

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