Question

AP ✓20,✓45,✓80,✓125
find the common difference, first term, and the next term.​

Answer 1

Answer:

first term (a) = √20

common difference= √45 - √20

(d) = 3√5 - 2√5

= √5 (3 - 2)

= √5

Next term is 5th term (n = 5)

Formula:

=> a + (n - 1)d

=> √20 + (5 - 1)√5

=> √20 + 4√5

=> 2√5 + 4√5

=> √5 ( 2 + 4)

=> 6√5

=> √( 6 x 6 x 5)

=> √180 (Ans)

therefore next term is √180

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Answer 2

Answer:

first term is √20, common difference is √5 ,next term is √180

Step-by-step explanation:

√20 can be written as 2√5

and √40 can be written as 3√5

therefore common difference is 2nd term - 1st term

=> 3√5 - 2√5 = √5

First term is obviously √20

and to find the next term we need to find the sequence followed by the A.P.

which is..

20+25= 45

25 + 10 = 35

so, 45+ 35 = 80

next 80 + 45 = 125

and the required next term following the pattern is => 125 + 55 = 180

following the root sign..