Question

Find the value of
154.62
up to 2 decimal places.

Who will ans first will be the brainliest

Answer 1

Answer:

∣

YourAnswer

∣

286

step-by-step explanation:

♣ What is an A.P

✍️In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

✍️ Difference here means the second minus the first. For instance, the sequence

5, 7, 9, 11, 13, 15.........

is an arithmetic progression with common difference of 2.

Now,

Given,

the A.P series is

34, 32, 30, 28,...............,10

here,

first term, a = 34

common difference, d = 32-34 = -2

WE KNOW THAT,

nth term of an A.P

is given by,

a_na

n

= a + (n-1)d

=> 10 = 34 - 2 (n-1)

=> 2(n-1) = 24

=> n-1 = 12

=> n = 13

.°. 10 is the 13th term of the given A.P

thus,

there are 13 terms in this A.P

Now,

tk find the sum of ,

34+ 32+ 30 +........+10

we k ow that,

sum of n termz of an A.P is given by,

S_nS

n

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

putting the values of a, n and d,

we get,

S_nS

n

= 13/2 [ 68 -24]

= 13× 44/2

= 13 × 22

= 286