what is the next term of the ap √2√8√18
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Answered by
103
Given sequence is √2 , √8, √18,...
a1 = √2 ,
a2 = √8 = √ ( 2 × 2 ) ×2 = 2√2
a3 = √18 = √ ( 3 × 3 ) × 2 = 3 √2
First term (a ) = a1 = √2
a2 - a1 = 2√2 - √2 = √2
a3 - a2 = 3√2 - 2√2 = √2
Therefore ,
a2 - a1 = a3 - a2 = √2
Common difference (d) = √2
The given sequence is in A.P .
nth term = an = a + ( n-1 ) d
14th term of the A.P = a4
a4 = a + ( 4 - 1 ) d
= a + 3d
= √2 + 3 × √18
= √2 + 3√2
= 4√2
4th term of the given A.P = 4√2
Or
a4 = 4√2
#BeBrainly
a1 = √2 ,
a2 = √8 = √ ( 2 × 2 ) ×2 = 2√2
a3 = √18 = √ ( 3 × 3 ) × 2 = 3 √2
First term (a ) = a1 = √2
a2 - a1 = 2√2 - √2 = √2
a3 - a2 = 3√2 - 2√2 = √2
Therefore ,
a2 - a1 = a3 - a2 = √2
Common difference (d) = √2
The given sequence is in A.P .
nth term = an = a + ( n-1 ) d
14th term of the A.P = a4
a4 = a + ( 4 - 1 ) d
= a + 3d
= √2 + 3 × √18
= √2 + 3√2
= 4√2
4th term of the given A.P = 4√2
Or
a4 = 4√2
#BeBrainly
Answered by
0
Answer:
The next term of the given arithmetic progression is .
Step-by-step explanation:
The given sequence is :
First term
To find the common difference d of the given A.P :
Therefore the common difference d is .
Hence the fourth term of the A.P would be :
Hence the fourth term is .
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