Question

Which term in the A. P 14, 11, 8, 5,...is -154? *
​

Answer 1

Answer:

-154 = a + ( n - 1 ) d

-154 = 14 + ( n - 1 ) ( - 3 )

-154 = 14 - 3n + 3

-154 = 17 - 3n

3n = 154 + 17

3n = 171

n = 171/3

n = 57

57th term of the A. P. 14, 11, 8, 5..... is - 154.

Hope it helps u...

Plz mark me as the BRAINLIEST....

Answer 2

-154 is 57th term of given A.P. 14, 11, 8, 5,...

Given:

• An A.P.
• 14, 11, 8, 5,...

To find:

• Which term in the A. P 14, 11, 8, 5,...is -154? *

Solution:

Formula\concept to be used:

General term of AP: $\bf a_n = a + (n - 1)d$

here,

a: First term

d: Common difference

n: number of term

Step 1:

Write the terms to be used in general terms.

Here,

a=14

d= 11-14

d=-3

an= -154

Step 2:

Put the values in formula and find n.

$- 154 = 14 + (n - 1)( - 3)$

or

$- 154 - 14 = - 3(n - 1)$

or

$- 168 = - 3(n - 1)$

or (swap the sides)

$3(n - 1) = 168$

or

$n - 1 = \frac{168}{3}$

or

$n - 1 = 56$

or

$n = 56 + 1$

or

$\bf n = 57$

Thus,

-154 is 57th term of given A.P.

Learn more:

1) Which term of the A.P 120,116,112,...is its first negative term

https://brainly.in/question/1202105

2) The 11th term of the AP: -5,-5/2,0,5/2,.. is

https://brainly.in/question/7607058