Question

Find the fifth term of AP is 26 and its tenth term is 51 find AP​

Answer 1

Answer:hope it is helpful..

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Correct Question:-

The 5th Term of an A.P is 26 and it's 10th Term is 51. Find the A.P..

AnswEr:-

AP is 11, 16 , 21..

Step by Step Explanation :-

Given :-

$\sf \; a5 = 26$

$\sf\; a10 = 51$

Now,

a + 4d = 26 _____eq(1)

a + 9d = 51 ______eq(2)

From equations (1) & (2)

$:\implies\sf\; a + 4d = 26 = a + 9d = 51$

$:\implies\sf\; d = \dfrac{5}{25}$

$:\implies\sf\; d = 5$

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Now, Putting the value of d in equation (1) we get,

$:\implies\sf\; a + 4d = 26$

$:\implies\sf\; a + 4(5) = 26$

$:\implies\sf\; a + 20 = 26$

$:\implies\sf\; a = 26 - 20$

$:\implies\sf\; a = 6$

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Now,

a + d

$:\implies\sf\; 6 + 5$

$:\implies\sf\; 11$

a + 2d

$:\implies\sf\; a +2(5)$

$:\implies\sf\; 6 + 10$

$:\implies\sf\; 16$

a + 3d

$:\implies\sf\; a +3(5)$

$:\implies\sf\; 6 + 15$

$:\implies\sf\; 21$

So, The A.P is 11, 16 , 12.

$\rule{150}2$