Math, asked by ajaymishrakumar42, 2 months ago

ABD , EFH , IJL , MNP , QRT ______?
(A) XYZ
(B) VWY
(C) WXZ
(D) UVX​


Ishu307: option d

Answers

Answered by venkateshshaila
9

Answer:

a)xyz is the answer hope it helps u

Answered by RvChaudharY50
3
  • The next term of the series is equal to UVX .

To Find :- Next term in the series :- ABD , EFH , IJL , MNP , QRT ______?

(A) XYZ

(B) VWY

(C) WXZ

(D) UVX

Logic :-

  • Add 4 in each alphabet of previous terms of the series to get next terms .

Explanation :-

we know that, position of english alphabets from left side is :- 1A, 2B, 3C, 4D, 5E, 6F, 7G, 8H, 9I, 10J, 11K, 12L, 13M, 14N, 15O, 16P, 17Q, 18R, 19S, 20T, 21 U, 22V, 23W, 24X, 25Y and 26Z.

So,

→ First term = ABD

adding 4 in each alphabets we get,

→ (A + 4)(B + 4)(D + 4)

putting position of english alphabets from left side we get,

→ (1 + 4)(2 + 4)(4 + 4)

→ (5)(6)(8)

now, putting alphabets in place of position from left side we get,

EFH

similarly,

→ Second term = EFH

adding 4 in each alphabets we get,

→ (E + 4)(F + 4)(H + 4)

putting position of english alphabets from left side we get,

→ (5 + 4)(6 + 4)(8 + 4)

→ (9)(10)(12)

now, putting alphabets in place of position from left side we get,

IJL

similarly,

→ Third term = IJL

adding 4 in each alphabets we get,

→ (I + 4)(J + 4)(L + 4)

putting position of english alphabets from left side we get,

→ (9 + 4)(10 + 4)(12 + 4)

→ (13)(14)(16)

now, putting alphabets in place of position from left side we get,

MNP

similarly,

→ Fourth term = MNP

adding 4 in each alphabets we get,

→ (M + 4)(N + 4)(P + 4)

putting position of english alphabets from left side we get,

→ (13 + 4)(14 + 4)(16 + 4)

→ (17)(18)(20)

now, putting alphabets in place of position from left side we get,

QRT

similarly,

→ Fifth term = QRT

adding 4 in each alphabets we get,

→ (Q + 4)(R + 4)(T + 4)

putting position of english alphabets from left side we get,

→ (17 + 4)(18 + 4)(20 + 4)

→ (21)(22)(24)

now, putting alphabets in place of position from left side we get,

UVX = Sixth term (Ans.)

Hence, the next term of the series is Option (D) UVX .

Learn more :-

423:24::534:60::752:70::245:?

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Use inductive reasoning to determine the next two terms in the sequence:

A , 6 , D , 16 , H , 46 , M , 136

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