Question

$\Huge{\underline{\sf Question:-}}$

If 2,5,8,11$\dots$are in A.P .
Find:-

☆37th term of an A.P.
☆Sum of first 19terms.


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Answer 1

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Answer 2

Step-by-step explanation:

Here

First term=2=a

Common difference d=5-2=3

And anth=a+(n-1)d

Now a 37 =a+(37-1)d

=>a 37=2+(36)5

=>a 37=2+180=182

Now s 19=n/2[2a+(n-1)]d

=>s 19=19/2[2×2+(19-1)5]

=>s 19=19/2[4+90]

=>s 19=19/2×94

=>s 19=19×47

=>s 19=893

☆37th term of an A.P is 182.

☆Sum of first 19terms is 893.