Question

राजा याराना हा
ग) ना राजा हो ना गुलाम हो।
0.32. Find the 31s" term of an A.P. whose 11th term is 38 and 16" term is 73.
किसी समान्तर श्रेणी का 11वाँ पद 38 तथा 16वाँ पद 73 हो तो उसका 31 वाँ पद बाताइये।
Q. 33. In figure the line segment XY is parallel to side Ar of A ARC and it divider the trio​

Answer 1

Answer:

what's this hindi or maths

Answer 2

SOLUTION

TO DETERMINE

The 31st term of an A.P. whose 11th term is 38 and 16th term is 73

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a and common difference = d

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

EVALUATION

Let a be the First term and d be the Common Difference of the AP

Now

16 th term = a + 15d

So by the given condition

a + 10d = 38 - - - - - - - (1)

a + 15d = 73 - - - - - - - (2)

Equation (2) - Equation (1) gives

5d = 35

$\implies \sf{d = 7}$

Now

31 st term

= a + 30d

= ( a + 10d ) + 20d

= 38 + ( 20 × 7 )

= 38 + 140

= 178

FINAL ANSWER

The 31st term of the A.P = 178

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