CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Arithmetic Progression

If 18, a, b,-...

Question

If 18, a, b, −3 are in A.P., the a + b =

(a) 19

(b) 7

(c) 11

(d) 15

Open in App

Solution

Here, we are given four terms which are in A.P.,

First term (a₁) =

Second term (a₂) =

Third term (a₃) =

Fourth term (a₄)=

So, in an A.P. the difference of two adjacent terms is always constant. So, we get,

Also,

Now, on equating (1) and (2), we get,

Therefore,

Hence the correct option is (d).

Suggest Corrections

thumbs-up

4

Similar questions

Q. The value of XYZ is

\frac{15}{2}

if a,x,y,z,b are In A.P., while xyz is

\frac{18}{5}

if a x,y,x,b are in H.P If a and b are positive integers, then find them.

Q. If the coefficients of 2^nd, 3^rd and the 4^th terms in the expansion of (1 + x)ⁿ are in A.P., then the value of n is
(a) 2
(b) 7
(c) 11
(d) 14

5544 = 2^{a} \times 3^{b} \times 7^{c} \times 11^{d} .

a + b + c + d

Q. Let three numbers a, b, c between 2 and 18 be such that
(1) Their sum is 25,
(2) The number 2,a,b are in A.P and
(3) The numbers b, c, 18 are in G.P. Find c

If a, b, c are in A.P. then $3^{a}$ , $3^{b}$ , $3^{c}$ are in ___.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Arithmetic Progression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Arithmetic Progression

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon